Toronto — After a hot start in cold conditions, the New York Yankees' offense has cooled off inside a climate-controlled dome.

Jose Bautista had two hits and collected his 800th RBI, J.A. Happ worked six innings for his first victory of the season and the Toronto Blue Jays beat the Yankees 7-2 on Wednesday night.

New York came in averaging 6.3 runs per game, the third highest mark in the majors, after five frigid games at home and in Detroit. For the second straight game, they managed less than half that amount.

Still, manager Joe Girardi wasn't worried.

"We hit the ball pretty good tonight but we didn't really have much to show for it," Girardi said. "I think that's a good sign."

Teixeira hit a solo homer, his third, but New York failed to win its third straight.

Facing the Yankees for the first time since Aug. 31, 2014, Happ (1-0) allowed one run and seven hits in six innings. He walked three and struck out four.

"I thought he pitched very well against us," Teixeira said. "He really mixed it up in and out, up and down, kept us off balance."

Happ has allowed two earned runs or fewer in 11 of his past 12 starts.

"The best thing about tonight was being able to make some pitches in big situations," said Happ, who left seven Yankees stranded.

Brett Cecil worked the seventh, Drew Storen allowed Teixeira's homer in the eighth and Pat Venditte finished.

Ryan Goins had three hits and two RBIs for the Blue Jays, who had lost five of six.

"You play these teams in your division and you need to beat them," manager John Gibbons said. "That was an important game for us."

Making his second start of the season, Yankees right-hander Michael Pineda (1-1) allowed three runs, two earned, and five hits in six innings.

"Pretty good offense here so I thought he did a good job," Girardi said.

The Blue Jays broke it open with a four-run, bat-around eighth against Ivan Nova. Bautista doubled home a run, Troy Tulowitzki and Goins each hit RBI singles and Russell Martin added a sacrifice fly.

"We need (Nova) to be able to get us outs," Girardi said. "I thought that was a good situation to bring him in. It didn't work out the way I wanted it to or the way he wanted it to."

Pineda's three walks were the most he'd issued in 42 career starts with the Yankees, snapping his team record streak of starts with two or fewer walks. Mike Mussina walked two or fewer in his final 37 starts with New York.

Swisher signs

INF/OF Nick Swisher signed a minor league contract with the Yankees and is expected to join Triple-A Scranton on Thursday. Swisher, who played for the Yankees from 2009 to 2012, was released by Atlanta late in spring training.

Chapman takes the mound

Yankees closer Aroldis Chapman worked a perfect inning in his first extended spring training game Wednesday, striking out two of the three batters he faced. Chapman is working out at the Yankees' minor league complex in Florida while serving a 30-game suspension stemming from baseball's new domestic violence policy.

Trainer's room

Yankees: C Brian McCann (bruised left big toe) was held out of the starting lineup but was available to pinch hit, Girardi said. McCann said he expects to return to the lineup Thursday.

Up next

Yankees: RHP Nathan Eovaldi (0-0, 9.00) makes his second start of the season and his first career start at Rogers Centre in Thursday's series finale. Eovaldi allowed one run and five hits in 6 1/3 innings in his lone career start against Toronto last August.

Blue Jays: RHP Marcus Stroman (1-0, 5.40) is 9-2 with a 2.66 ERA in 18 career games at Rogers Centre, including 14 starts. He's 4-1 with a 2.43 ERA in five career starts against the Yankees.