DETROIT -- Gregorio Petit's three-run double highlighted a six-run first inning and the New York Yankees knocked out Detroit Tigers ace David Price in the third of a 13-4 win on Wednesday night at Comerica Park.

Third baseman Chase Headley and shortstop Didi Gregorius drove in two runs apiece for New York (8-7). First baseman Mark Teixeira added a three-run homer off reliever Al Alburquerque in the seventh. Every Yankees batter in the lineup had at least one hit, including three by left fielder Chris Young.

New York starter Adam Warren (1-1) fought through an early wild spell to collect his first victory of the season. Warren gave up four first-inning runs but didn't allow another and lasted 5 2/3 innings.

Price (1-1), who allowed only one earned run in his first three starts, surrendered eight runs and 10 hits in 2 1/3 innings. He also gave up eight runs in two innings to the Yankees on Aug. 27 last season.

Left fielder Yoenis Cespedes had two hits and an RBI for the Tigers (11-4).

Both teams batted around in a wild first inning that took nearly an hour to complete and resulted in a 6-4 Yankees lead.

Price drilled the first batter he faced, center fielder Jacoby Ellsbury, with a fastball in the chest. Ellsbury not only remained in the game, he got up again before the inning was over.

Catcher Brian McCann and Headley had RBI singles before Petit cleared the bases with a three-run double. Ellsbury made it 6-0 with an RBI single.

Most of the lead evaporated by the end of the inning because of Warren's wildness. He walked four of the first five batters he faced to force in a run. Cespedes and catcher Alex Avila then delivered RBI singles, sandwiched around third baseman Nick Castellanos' run-scoring fielder's choice.

Run-scoring triples by right fielder Carlos Beltran and Headley in the second inning gave the Yankees an 8-4 lead.

Gregorius' two-run double in the fourth off Tigers reliever Angel Nesbitt made it 10-4.

NOTES: Detroit RHP Joe Nathan, who is on the 15-day disabled list with a right elbow flexor strain, suffered a setback during a rehab assignment with Triple-A Toledo on Wednesday. Nathan, who posted a save on Opening Day before being diagnosed with the injury, felt a sharp pain in his pitching arm after throwing 10 pitches. He returned to Detroit for evaluation. ... The Yankees led the majors entering Wednesday's action with 20 home runs. ... New York LF Brett Gardner was not in the lineup against Detroit LHP David Price. Gardner will start in Thursday's matinee, Yankees manager Joe Girardi said. ... Detroit RHP Bruce Rondon, who is on the disabled list with bicipital tendinitis, threw a 15-pitch bullpen session on Tuesday. Rondon has yet to throw breaking pitches. ... New York RHP Masahiro Tanaka will start Thursday on four days' rest for the first time this season. Tanaka had five days' rest after his first two starts.