$$y=-8-5x$$
$x=\frac{-y-8}{5}$
$$-8-5x=y$$
$$-5x=y+8$$
$$\frac{-5x}{-5}=\frac{y+8}{-5}$$
$$x=\frac{y+8}{-5}$$
$$x=\frac{-y-8}{5}$$
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$y=-5x-8$