#### Answer

A

#### Work Step by Step

We start by factoring out y to help us isolate y. We then can divide both sides by $2x^{2} -4$ to get y alone. We then simplify the fraction:
$y(2x^{2} -4)=-24 \\\\ y= -24 / (2x^{2} -4) \\\\ y = -12 / x^{2} -2$
A is correct.