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