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