DETROIT -- Chris Young and Stephen Drew hit solo home runs and Nathan Eovaldi recorded his first victory with the New York Yankees, a 5-2 triumph over the Detroit Tigers on Tuesday night at Comerica Park.

Young got on base in all five of his at-bats with three hits and two walks. The right fielder's fourth homer of the season sparked a three-run seventh inning for New York (7-7). Drew, the Yankees shortstop, had two of the team's eight hits.

Eovaldi (1-0), acquired from the Miami Marlins during the offseason, held Detroit to one run on eight hits in seven-plus innings while striking out four. He had no-decisions in his first two starts. Andrew Miller recorded the final out for his fifth save after issuing a bases-loaded walk to pinch hitter Rajai Davis.

Left fielder Yoenis Cespedes' sacrifice fly accounted for Detroit's only run off Eovaldi while right fielder J.D. Martinez supplied three hits. Third baseman Nick Castellanos extended his hitting streak to a career-high nine games with a third-inning single for the Tigers (11-3).

First baseman Mark Teixeira, whose solo homer was the only Yankees run on Monday, gave New York an early lead with a two-out double in the first. That brought home left fielder Brett Gardner, who reached on a walk.

It stayed that way until Detroit manager Brad Ausmus removed starter Kyle Lobstein (1-1) after 96 pitches. Reliever Ian Krol started the seventh and promptly gave up a leadoff homer to Young, who pulled a 3-1 pitch over the left-field wall.

Drew smacked his fourth homer over the right-field fence one batter later to make it 3-0. New York tacked on another run in the inning when center fielder Jacoby Ellsbury scored on Al Alburquerque's wild pitch.

Cespedes broke up Eovaldi's shutout bid with his sacrifice fly in the bottom of the seventh.

Castellanos' error in the ninth gave New York its final run.

NOTES: Detroit RHP Joe Nathan, who is on the 15-day disabled list with a right elbow flexor strain, is scheduled to pitch an inning with Triple-A Toledo on Wednesday. Nathan, who recorded a save on Opening Day before being diagnosed with the injury, could be activated this weekend. ... The Yankees recalled LHP Chasen Shreve from Triple-A Scranton/Wilkes-Barre and optioned RHP Branden Pinder to the same club. "The one thing about Chasen is he gives you multiple innings, more than a Branden does," Yankees manager Joe Girardi said. Shreve threw 2 1/3 scoreless innings for Scranton/Wilkes-Barre. ... New York LHP CC Sabathia's complete-game performance on Monday was the first by an American League pitcher this season. He has 38 complete games, most among active pitchers. ... The Tigers had allowed fewer than two runs in six of their first seven home games. They joined the 1999 Tigers as the only major-league teams in the past 80 seasons to accomplish the feat, according to the Elias Sports Bureau.