$$2x+8y=3x-8y-10$$
$x=16y+10$
$$2x+8y-3x=-8y-10$$
$$-x+8y=-8y-10$$
$$-x=-8y-10-8y$$
$$-x=-16y-10$$
$$\frac{-x}{-1}=\frac{-16y-10}{-1}$$
$$x=\frac{-16y-10}{-1}$$
$$x=16y+10$$
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$y=\frac{x-10}{16}$
$$2x+8y+8y=3x-10$$
$$2x+16y=3x-10$$
$$16y=3x-10-2x$$
$$16y=x-10$$
$$\frac{16y}{16}=\frac{x-10}{16}$$
$$y=\frac{x-10}{16}$$
$$y=\frac{x}{16}-\frac{5}{8}$$
