$$6x-2y=4$$
$x=\frac{y+2}{3}$
$$6x=4+2y$$
$$6x=2y+4$$
$$\frac{6x}{6}=\frac{2y+4}{6}$$
$$x=\frac{2y+4}{6}$$
$$x=\frac{y+2}{3}$$
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$y=3x-2$
$$-2y=4-6x$$
$$\frac{-2y}{-2}=\frac{4-6x}{-2}$$
$$y=\frac{4-6x}{-2}$$
$$y=3x-2$$
