RALEIGH, N.C. — Teuvo Teravainen scored a quick goal, and moments later, so did Greg McKegg. That quickly, the Hurricanes chased New York’s goalie out of the game — and the Islanders right out of the playoffs.Carolina earned a spot in the Eastern Conference final Friday night with a 5-2 win after Teravainen and McKegg scored 66 seconds apart in the first 3:17 of the second period.Teravainen and Sebastian Aho each finished with a goal and an assist, captain Justin Williams and rookie star Andrei Svechnikov each added insurance goals, and goalie Curtis McElhinney made 26 saves in his second career playoff start.The Hurricanes — who went a decade between playoff berths — earned the first four-game sweep in franchise history and have reached the Eastern Conference final in each of their past four postseason appearances since 2002. They’re also unbeaten in five home playoff games this year.“Imposing your will on a team and giving them doubt is the key to winning a series, whenever that may be,” Williams said. “We pushed and we pushed, we got a couple goals, we got a good lead, and that’s how you win a series. You tell a team it’s too hard for them, and it was.”Now the Hurricanes — after winning six straight and eight of nine — have time to heal before they face the Columbus-Boston winner. That series is tied at two games each.Mathew Barzal scored a power-play goal and Brock Nelson added a late goal for the Islanders, who managed just five goals in the series and were swept for the first time since the Rangers did it in the first round in 1994. After sweeping the Penguins in the first round, the Islanders became the first team to win in a sweep and then lose in one since 1993, when the Sabres swept the Bruins and then were swept by the Canadiens.Coach Barry Trotz kept the identity of his starting goalie a secret until warmups, when Robin Lehner led them onto the ice for the fourth straight game in the series.Trotz pulled him in favor of backup Thomas Greiss after the bang-bang goals by Teravainen and McKegg.“We just got punched in the nose, and I was looking for a spark,” Trotz said. “I knew that goals had been pretty hard to come by in the series. ... We just couldn’t get close enough in the end.”Teravainen put the Hurricanes ahead to stay after some slick passes from Aho and Warren Foegele set up his sixth goal of the postseason. And McKegg chased Lehner when the goalie couldn’t hold on to the rebound of Brett Pesce’s shot and the Carolina rookie stuffed it in for his first playoff goal.“Our backs were against the wall," Islanders captain Anders Lee said. "Once again, they found a way to pop a goal on us, then they popped another one. You’ve seen in this series, these guys are relentless when they get a lead. They’re relentless when they’re defending. You saw it again tonight.”Greiss wasn’t much better against the high-energy Hurricanes, with Williams scoring their third goal of the period off a give-and-go from Nino Niederreiter at 8:51 and Svechnikov riling up the crowd with his goal with 4:47 left.Lehner and Greiss each finished with eight saves for the Islanders.