Mikeli Wesley added 23 points and Trent Whiting scored 11, with Lyday and Wesley scoring 30 of the Cougars' 34 second-half points.

Brett McFall led Wyoming (20-9) with 19 points and teammates Josh Davis and Marcus Bailey each added 14. Davis led all rebounders with eight.

The Cougars jumped out early, building a 20-10 advantage with 12:27 left in the first half. Lyday had 16 first-half points for Brigham Young, which was 5-of-7 from behind the 3-point line in the half.

Wyoming came back in the second half to cut the lead to 61-56 with 5:56 remaining and had a chance to pull within two but a McFall 3-pointer rimmed out.

After the miss, Wesley made two foul shots and Lyday hit a jumper to put the Cougars up 67-58 with 3:58 left.

The Cowboys managed to pull within five again at 67-62, but Lyday hit his third three-pointer of the game to put the Cougars up 70-62 with less than 3 minutes remaining.

Brigham Young (23-8) will play the winner of the second game Friday night between Utah and New Mexico State.