Semin tied it at 2 on a power play with 8:12 left, and Tlusty scored with 6:17 to go.
Jeff Skinner had a first-period goal — his 26th — to help Carolina win its second in a row after losing seven of eight. Nathan Gerbe had an empty-net goal with a second left.
Cam Ward made 21 saves, making his second consecutive start after backstopping the Hurricanes to a 3-1 victory over the New York Rangers on Tuesday night.
Tyler Ennis scored on a penalty shot and Drew Stafford added a goal for Buffalo. Michal Neuvirth made a season-high 51 saves in his second start for the Sabres since being acquired in a trade with Washington on March 5.
I think everyone left it out there. Every game this season, regular season and playoffs, we played as hard as we could. We're not out of the playoffs right now because of lack of effort, and that's all that we can ask of each other.
— Predators defenseman Seth Jones after Nashville was eliminated by Chicago in Game 6 on Saturday