Darvish (3-0) turned in the longest of his four starts since coming to the Rangers from Japan, blanking New York on seven hits while striking out 10 and issuing a pair of walks.
Joe Nathan recorded the final two outs for his fifth save and American League West-leading Texas evened its three-game series with the Yankees.
New York starter Hiroki Kuroda (1-3) absorbed the loss, yielding two runs on five hits over 6 2/3 frames.
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