$$3ay^{2}-48a$$
$3a\left(y-4\right)\left(y+4\right)$
$$3\left(ay^{2}-16a\right)$$
$$a\left(y^{2}-16\right)$$
$$\left(y-4\right)\left(y+4\right)$$
$$3a\left(y-4\right)\left(y+4\right)$$
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$3a\left(y^{2}-16\right)$