$$5x-4y=-2$$
$x=\frac{4y-2}{5}$
$$5x=-2+4y$$
$$5x=4y-2$$
$$\frac{5x}{5}=\frac{4y-2}{5}$$
$$x=\frac{4y-2}{5}$$
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$y=\frac{5x}{4}+\frac{1}{2}$
$$-4y=-2-5x$$
$$-4y=-5x-2$$
$$\frac{-4y}{-4}=\frac{-5x-2}{-4}$$
$$y=\frac{-5x-2}{-4}$$
$$y=\frac{5x}{4}+\frac{1}{2}$$
