Florida made seven of its first 14 shots to open a double-digit lead. Boynton hit consecutive 3-pointers that pushed the lead to 18.
The Gators were up 58-38 at halftime and showed the kind of knockout mentality coach Billy Donovan has wanted with a 13-2 run to start the second half.
Patric Young keyed the spurt. Wearing protective glasses four nights after he got poked in the eye, Young had a layup off a blocked shot, a free throw and another easy bucket in the paint. He was fouled on the last of his three straight plays and missed the free throw. No worries, though. He got the offensive board, which led to Scottie Wilbekin's 3 from the wing.
Young finished with 14 points and nine rebounds, helping negate the absence of forward Erik Murphy. Murphy injured his right knee in practice Thursday and was on crutches Friday.
Murphy, a 6-foot-10 junior from Rhode Island, is averaging 10.0 points and 4.0 rebounds for the Gators.
Will Yeguete replaced him in the lineup, and finished with eight points and nine rebounds.
The biggest difference was Florida's shooting. The Gators shot 55 percent from the field.
Even though the Dolphins were overmatched, they didn't play all that poorly. They shot 39 percent from the field and committed 15 turnovers. They were 5 of 15 from behind the arc and just 9 of 17 from the free throw line.
Florida had more woes from the charity stripe, a strange trend for a team with so many solid outside shooters. The Gators were 22 of 35 from the free throw line, but made up for the misses by hitting 11 of 25 from 3-point range.
Florida's pep squads had a much tougher night. The dance team got plowed into by Young and again by Glenn Powell. Then a cheerleader had to be carried off the floor after she felt something pop during a tumbling routine.