$$2x+y+1=0$$
$x=\frac{-y-1}{2}$
$$2x+1=-y$$
$$2x=-y-1$$
$$\frac{2x}{2}=\frac{-y-1}{2}$$
$$x=\frac{-y-1}{2}$$
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$y=-2x-1$
$$y+1=-2x$$
$$y=-2x-1$$