$$\frac { x ^ { 2 } - y ^ { 2 } } { x ^ { 2 } + x y } \div \frac { 2 y - 2 x } { x y }$$
$-\frac{y}{2}$
$$\frac{\left(x^{2}-y^{2}\right)xy}{\left(x^{2}+xy\right)\left(2y-2x\right)}$$
$$\frac{xy\left(x+y\right)\left(x-y\right)}{2x\left(x+y\right)\left(-x+y\right)}$$
$$\frac{-xy\left(x+y\right)\left(-x+y\right)}{2x\left(x+y\right)\left(-x+y\right)}$$
$$\frac{-y}{2}$$
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