Smolinski clobbered a two-run homer off Rays closer Alex Colome with one out in the ninth and Healy, called up after the All-Star break, smacked his first career walk-off homer with two outs.
“Two really loud sounds with two younger players getting an opportunity to play every day,” A’s manager Bob Melvin said.
Colome had converted his past 21 save opportunities, but with Khris Davis on after a walk, Smolinski was looking for a first-pitch fastball.
Graveman put together another strong start, scattering nine hits in a career-high nine innings, the A’s first complete game of the season.
Right fielder Josh Reddick was scratched two hours before game time because of back soreness; Melvin said Reddick had a little bit of a knot in his back after Friday’s 13-inning game and couldn’t get loose.
Tampa Bay starter Drew Smyly entered the night with a 2-11 record and a 5.64 ERA, but with the exception of a weird run in the first, he held Oakland in check for six innings.
Jed Lowrie singled with one out in the first, Danny Valencia walked and Davis appeared to strike out swinging — but home-plate umpire Kerwin Danley called him back, saying he’d fouled the pitch.
Davis looked incredulous, then whacked an RBI single.
