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