Answer
$$(y+8)(y-3)$$
Work Step by Step
Factor
$$y^{2}+5y-24.$$
Find numbers that are factors of $-24$ and sum to $5$:
$$(8)(-3)=-24;\space 8-3=5.$$
The polynomial is a product of two binomials:
$$y^{2}+5y-24=(y+8)(y-3).$$
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