The Isles had plenty of chances to win in the extra frames and held a sizable shot advantage on the night. Provorov's OT winner came on the Flyers' 31st shot of the game. The Isles had 53.
"We're just focused on the next one here. We liked our game tonight," Matt Martin said. "We're confident in our team and if we put another effort up like that in Game 7, I like our chances."
Game 6 was a wild one from the drop of the puck. The Isles found themselves in a 2-0 hole early in the first period, as Kevin Hayes and James van Riemsdyk scored goals 1:36 apart to give the Flyers a first period lead. The Flyers took advantage of an Islanders turnover and with the team changing, Hayes finished off an odd-man rush for the game's first goal at 10:16. Van Riemsdyk followed up less than two minutes later, blasting a slap shot through Varlamov off the rush at 11:52.
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The early deficit didn't faze the Islanders, who had rallied out of a three-goal hole in Game 2 and a two-goal deficit in Game 5. They outshot the Flyers 10-5 in the opening frame and were rewarded near the end of the period, as Derick Brassard scored his second goal in as many games at the 16:33 mark.
Brassard got credit for the goal - his second of the postseason - but the play was made possible by a fantastic feed from Brock Nelson, who threaded a pass from behind the net to Devon Toews at the point. With an Isles power play expiring, Toews shot for Brassard's stick in front of the net, scoring a deflection goal and cutting the lead to one.
The momentum carried over into the second period, as the Isles scored a pair of quick goals to take a 3-2 lead. Martin netted his fourth goal of the playoffs at 1:24 of the second, snapping a Cal Clutterbuck feed five-hole with Casey Cizikas sliding into the net. Flyers Head Coach Alain Vigneault challenged for goalie interference - his third challenge of the series - but the goal stood and proved costly for the Flyers, as the Isles scored on the ensuing power play.
Mathew Barzal, who was a game-time decision on Thursday, shot for a rebound off Carter Hart's pads, with the puck kicking right out to Anders Lee, who deposited his seventh goal of the playoffs at 3:06.
The Isles' first lead of the game lasted about 10 minutes, as Michael Raffl knocked in a Nicolas Aube-Kubel rebound at 13:21 to tie the score 3-3. The Islanders snatched it back before the period was out, as Barzal beat Hart with a wicked wrister with 30 seconds to play in the second. Twenty minutes stood between the Isles and the Eastern Conference Final, but despite outshooting Philly 14-4, the Flyers managed to tie it up.