$$2x-y=-2$$
$x=\frac{y-2}{2}$
$$2x=-2+y$$
$$2x=y-2$$
$$\frac{2x}{2}=\frac{y-2}{2}$$
$$x=\frac{y-2}{2}$$
$$x=\frac{y}{2}-1$$
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$y=2\left(x+1\right)$
$$-y=-2-2x$$
$$-y=-2x-2$$
$$\frac{-y}{-1}=\frac{-2x-2}{-1}$$
$$y=\frac{-2x-2}{-1}$$
$$y=2x+2$$