$$4x-y=5$$
$x=\frac{y+5}{4}$
$$4x=5+y$$
$$4x=y+5$$
$$\frac{4x}{4}=\frac{y+5}{4}$$
$$x=\frac{y+5}{4}$$
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$y=4x-5$
$$-y=5-4x$$
$$\frac{-y}{-1}=\frac{5-4x}{-1}$$
$$y=\frac{5-4x}{-1}$$
$$y=4x-5$$