$$y=-4x+2$$
$x=-\frac{y}{4}+\frac{1}{2}$
$$-4x+2=y$$
$$-4x=y-2$$
$$\frac{-4x}{-4}=\frac{y-2}{-4}$$
$$x=\frac{y-2}{-4}$$
$$x=-\frac{y}{4}+\frac{1}{2}$$
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$y=2-4x$