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