Kachmer scored the game's first touchdown on a 95-yard run to give Brown (7-1, 5-0 Ivy League) a 7-0 lead. Newhall-Caballero then threw touchdowns to Jimmy Saros and Jonah Fay to give Brown a 20-7 advantage at halftime.
Newhall-Caballero and Kachmer connected on a 2-yard touchdown pass to give Brown a 34-14 lead midway through the fourth quarter.
Newhall-Caballero finished with 224 yards and three touchdowns on 22 of 41 passing while Kachmer had 192 yards and three TDs on 19 carries.
Patrick Witt attempted to lead the Yale (3-2, 4-4) comeback, scoring two touchdowns in the final six minutes. However, Brown recovered an onside kick with only 1:27 left to play.
Witt was 34 of 46 for 370 yards and four touchdowns but was intercepted three times, twice in the fourth quarter.