Answer
{$32$}
Work Step by Step
Step 1: $\sqrt {y-7}=5$
Step 2: $(\sqrt {y-7})^{2}=5^{2}$
Step 3: $y-7=25$
Step 4: $y=25+7$
Step 5: $y=32$
Therefore, the solution set is {$32$}.
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