Cabrera's tying, two-run single in the eighth completed the Reds' rally from a 6-2 deficit.
Ben Zobrist had two hits for Tampa Bay. He hit a leadoff single in the ninth and later scored on Hinske's single.
Evan Longoria had an RBI double for the Rays.
"He was very composed out there," Tampa Bay manager Joe Maddon said. "We saw that from him last year even when he struggled."
"He lost his concentration. Things began to unravel. He was one strike away from having a very good outing," Cincinnati manager Dusty Baker said.
Ken Griffey Jr. made his first start of the spring and walked in two plate appearances. ... Reds SS Alex Gonzalez has a compression fracture of his left knee. He will be evaluated again in three weeks. ... IF-OF Jerry Gil strained his left quadriceps trying to beat out a ground ball in Thursday's game and will be held out about a week. ... The Reds signed Bailey, Volquez and OF Norris Hopper to one-year contracts.