$$5x-2y=-7$$
$x=\frac{2y-7}{5}$
$$5x=-7+2y$$
$$5x=2y-7$$
$$\frac{5x}{5}=\frac{2y-7}{5}$$
$$x=\frac{2y-7}{5}$$
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$y=\frac{5x+7}{2}$
$$-2y=-7-5x$$
$$-2y=-5x-7$$
$$\frac{-2y}{-2}=\frac{-5x-7}{-2}$$
$$y=\frac{-5x-7}{-2}$$
$$y=\frac{5x+7}{2}$$