$$3x+y+2=0$$
$x=\frac{-y-2}{3}$
$$3x+2=-y$$
$$3x=-y-2$$
$$\frac{3x}{3}=\frac{-y-2}{3}$$
$$x=\frac{-y-2}{3}$$
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$y=-3x-2$
$$y+2=-3x$$
$$y=-3x-2$$