$$5(x-2)-y(x-2)$$
$\left(5-y\right)\left(x-2\right)$
$$5x-10-y\left(x-2\right)$$
$$5x-10-\left(yx-2y\right)$$
$$5x-10-yx-\left(-2y\right)$$
$$5x-10-yx+2y$$
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$-xy+5x+2y-10$