"Toby is in the hospital now, he's getting checked for facial fractures," Jets coach Paul Maurice said.
Byfuglien made it 3-2 at 16:10.
"It's not the first period that we wanted, but it was pretty good after that," Murray said.
The Penguins scored three goals in 57 seconds during the second period. Schultz made it 3-3 at 9:09 on the power play. Bonino scored his second of the game 20 seconds later at 9:29, also on the power play, to make it 4-3. Malkin made it 5-3 at 10:06.
Bonino completed his second NHL hat trick and first since Feb. 2, 2013, against the Los Angeles Kings with a power-play goal at 18:21 of the second period to give the Penguins a 6-3 lead.
"It's been a while since the first [hat trick]," Bonino said. "The first one went in and you're always feeling a little bit better, and then it just seemed like the puck was finding the net for [us] tonight. I can't really explain it."
Guentzel scored at 16:02 of the third to make it 7-3.
Dano made it 7-4 with 1:15 remaining.