Assume \( x \) and \( y \) are functions of t. Evaluate \( \frac{d y}{d t} \) for \( 4 x y-4 x+4 y^{3}=-172 \), with the conditions \( \frac{d x}{d t}=-12, x=4, y=-3 \) \[ \frac{\mathrm{dy}}{\mathrm{dt}}]=