NEW YORK (AP) -- David Price struck out 10 in his Detroit debut and was long gone when Alex Avila homered in the 12th inning to lift the Tigers over the New York Yankees 4-3 Tuesday night.

Hiroki Kuroda #18 of the New York Yankees pitches in the fourth inning against the Detroit Tigers at Yankee Stadium. (Photo by Jim McIsaac/Getty Images)
Hiroki Kuroda #18 of the New York Yankees pitches in the fourth inning against the Detroit Tigers at Yankee Stadium. (Photo by Jim McIsaac/Getty Images)
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Price pitched 8 2-3 innings and left with the score 3-all.

The Tigers got Price from Tampa Bay last Thursday in a three-team deal minutes before the trading deadline. The lefty ace got to keep his No. 14 - center fielder Austin Jackson, who wore it with the Tigers, was sent to Seattle in the big swap.

Price leads the majors in strikeouts (199) and innings (179 1-3). Bushy bearded Joba Chamberlain relieved Price, and the crowd booed the formerly clean-shaven Yankees reliever.

The Yankees are in the midst of facing Detroit's three Cy Young Award winners. They edged Max Scherzer on Monday, and will next see Justin Verlander on Wednesday night.

Avila homered with one out off Matt Daley (0-1).

Joakim Soria (2-4) got the win and Joe Nathan earned his 23rd save in 28 tries.

This was the Yankees' 16th straight game decided by two or fewer runs, and they're 9-7 in that span. It's the longest such streak in the majors since a 16-game stretch by Baltimore in 1975, the team said in citing the Elias Sports Bureau.

Tigers outfielder Torii Hunter exited with a bruised left hand after being hit by a pitch from Dellin Betances in the ninth.

Brian McCann and Martin Prado hit solo home runs for the Yankees, who had won three in a row.

The Tigers tied it at 3 in the seventh, helped by some smart swinging by Victor Martinez. The cleanup man led off by hitting an easy grounder to the uncovered left side of the Yankees' overshifted infield for a single and scored on a two-out single by Avila.

Andrew Romine homered in the Detroit sixth.

TRAINER'S ROOM

Tigers: Shortstop Eugenio Suarez didn't play, a day after spraining his left knee while sliding into second base on a steal. Romine started at the spot.

Yankees: First baseman Mark Teixeira went 0 for 5. He was a late scratch Monday when felt lightheaded. ... Left-hander CC Sabathia says doctors took out a bone chip they found in his knee when they did season-ending surgery last week. He'll soon get a stem-cell injection. He expects to ready for spring training.

ON DECK

Verlander (10-9, 4.66 ERA) starts against Chris Capuano (1-2, 4.50 ERA). Verlander is 0-2 in five regular-season starts at the new Yankee Stadium. No telling if his special fan will be in the stands - Verlander flipped a ball to supermodel Kate Upton on Monday night, but she wasn't sitting in her seat behind the Tigers dugout Tuesday.

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