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