Answer
$y=7$
Work Step by Step
Starting with the pythagorean theorem, we have:
$24^{2} + y^{2} = 25^{2}$
$\implies 576 + y^{2} = 625$
We now subtract 576 from both sides:
$\implies y^{2} = 49$ Take the square root $\implies y=7 $
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