$$5x-y=3$$
$x=\frac{y+3}{5}$
$$5x=3+y$$
$$5x=y+3$$
$$\frac{5x}{5}=\frac{y+3}{5}$$
$$x=\frac{y+3}{5}$$
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$y=5x-3$
$$-y=3-5x$$
$$\frac{-y}{-1}=\frac{3-5x}{-1}$$
$$y=\frac{3-5x}{-1}$$
$$y=5x-3$$
