Rays hit four homers, top Blue Jays
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Evan Longoria hit two of Tampa Bay's four home leading 10th complete game, as the 1, in the opener of a four-game series.
Desmond Jennings and John Jaso also homered for the Rays, who started a seven- game road trip on Friday.
Shields (12-10) gave up one run on seven hits while improving to 9-5 lifetime against Toronto. He struck out 12 and walked one.
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Only four other active pitchers have had nine or more complete games in a season -- Roy Halladay (4 times), Livan Hernandez (2), CC Sabathia and Bartolo Colon.
The Rays have had 11 consecutive starts of seven or more innings, the longest streak by any team since June 11-23, 2003, when the Seattle Mariners had 11 straight starts of seven innings or longer.
Brett Lawrie hit a solo homer for the Blue Jays, who have lost five of seven.
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Henderson Alvarez (0-2) allowed four runs on four hits over six innings to suffer the loss. He struck out six and walked two.
Toronto was without manager John Farrell, who has been diagnosed with pneumonia. Farrell left Thursday night's 9-6 home loss to the Kansas City Royals after having muscle pain below his rib cage on the left side of his torso. He was released from a local hospital and is resting at home. Bench coach Don Wakamatsu took over coaching duties for Friday's game.