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Substitute Luke Moore scored a late winner to cap a day of celebration for Capital One Cup winners Swansea.
The hosts paraded the trophy, won last Sunday against Bradford City, in front of their supporters before kick-off against Newcastle and Moore's first league goal of the season was enough to take his side on to the 40-point mark and up to seventh in the Premier League table.
The former Aston Villa player prodded home a Wayne Routledge cross from close range, with the help of a deflection off Yohan Cabaye, after the Magpies had failed to clear.
Newcastle dominated the second half with Papiss Cisse, Moussa Sissoko and Yoan Gouffran all having chances.
Swansea made much the better start to the game with the trio of Pablo Hernandez, Routledge and Nathan Dyer causing chaos once again with their pace, precision and movement.
A wonderful dribble from Hernandez, which saw him leave Mathieu Debuchy and Cabaye trailing in his wake, ended in a chance for Michu, which Swansea's leading scorer headed over.
Michu was again involved as the hosts almost took the lead in the ninth minute. The Spaniard was allowed to drift around the back from a deep free-kick and his flick past the advancing Rob Elliot fell to Ashley Williams whose effort was cleared off the line by Steven Taylor.
Swansea had a penalty appeal for handball against Debuchy waved away by referee Craig Pawson, on his Premier League debut, before the Magpies started to establish a foothold in the game, harrying and physically challenging Swansea's ability to play their passing patterns.
The game became increasingly tetchy and after City's Ben Davies escaped a booking for a challenge on Jonas Gutierrez, Cheick Tiote and Cabaye were yellow-carded in quick succession for fouls on Dyer.
Swansea almost scored within seconds of the restart only for Elliot to superbly deny Angel Rangel from Hernandez's lovely pass. Newcastle then failed to take advantage of their two best chances of the afternoon a few minutes later as they took a hold on proceedings.
Firstly Cisse, who scored twice in Newcastle's win here last season, volleyed over the bar, before Gouffran was unable to turn in Sissoko's pull-back. Michel Vorm tipped a Cabaye shot on to his bar as the Magpies ratcheted up the pressure, and the Dutchman was again at full stretch in the 73rd minute to tip a Sissoko drive around the post.
Swansea went close when Hernandez's disguised pass put substitute Ki Sung-yueng through one-on-one with Elliot, but the keeper was again equal to the task.
However, he had little chance of keeping out the winner as Cabaye's attempted challenge took Moore's strike beyond him and into the corner of the net.
Swansea City manager Michael Laudrup: "There is a lot for us to be pleased about. First of all we got the win which takes us to 40 points and second I was very happy with the reaction after winning the cup. Sometimes smaller teams can struggle after a big win like that, but we saw an excellent reaction in the first half.
"We played really well in that half but didn't score, and that was a problem for us. Then Newcastle played really well in the second half but, like us, they couldn't score. That meant one late goal decided the game, and fortunately it was us who got it."
Newcastle United manager Alan Pardew: "We are frustrated and disappointed we did not even get a draw as we more than deserved that. We sat off them for the first 20 minutes of the first half but we sorted that at half-time. In the second half they had settled for a draw, they knew they were doing well to stay in it.
"But when we did not score in that great period we had, you know any mistake can be costly and that is what happened. We missed two or three big chances and you cannot do that at this level. The goal was sloppy, it's a ball into the box, we had four defenders there and it should have been dealt with better, unfortunately it wasn't and it cost us."
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