Miley (9-3) turned in his fourth straight start in which he has allowed only one run, lowering his ERA to 2.19. The rookie left-hander struck out seven and issued only one walk in the dominating performance.
Cubs starter Matt Garza (3-6) was touched for three runs on five hits in a seven-inning effort.
Alfonso Soriano went 2-for-4 with a solo homer for Chicago, which fell to a major-league worst 24-48.
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