$$x-y=-1$$
$y=x+1$
$$-y=-1-x$$
$$-y=-x-1$$
$$\frac{-y}{-1}=\frac{-x-1}{-1}$$
$$y=\frac{-x-1}{-1}$$
$$y=x+1$$
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$x=y-1$
$$x=-1+y$$