$$7x-15y=2$$
$x=\frac{15y+2}{7}$
$$7x=2+15y$$
$$7x=15y+2$$
$$\frac{7x}{7}=\frac{15y+2}{7}$$
$$x=\frac{15y+2}{7}$$
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$y=\frac{7x-2}{15}$
$$-15y=2-7x$$
$$\frac{-15y}{-15}=\frac{2-7x}{-15}$$
$$y=\frac{2-7x}{-15}$$
$$y=\frac{7x-2}{15}$$
