$-1\gt y$ or $6\lt y$.
Work Step by Step
$|5-2y|\gt7$ implies $5-2y\gt7\\-2\gt2y\\-1\gt y$ or $5-2y\lt-7\\12\lt2y\\6\lt y$. Thus $-1\gt y$ or $6\lt y$. Then, by using a graphing utility, the solution set is attached.
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