Oberlin pulled within one point three times in the second half, the last when Nathan Cohen hit a 3-pointer to make it 42-41 with 12:18 remaining. Hain scored the next six points, sparking a 23-5 run to stretch Youngstown State's (1-1) lead to 65-46 with 4:45 to play.
Sidney Umude's free throw gave the Penguins their largest lead, 70-48 with 2:25 left.
Cohen finished with 15 points on 4-of-11 shooting and dished out five assists. Matt Walker added 10 points for Oberlin.