$$9x-21-4y-16=-6$$
$x=\frac{4y+31}{9}$
$$9x-37-4y=-6$$
$$9x-4y=-6+37$$
$$9x-4y=31$$
$$9x=31+4y$$
$$9x=4y+31$$
$$\frac{9x}{9}=\frac{4y+31}{9}$$
$$x=\frac{4y+31}{9}$$
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$y=\frac{9x-31}{4}$
$$-37-4y=-6-9x$$
$$-4y=-6-9x+37$$
$$-4y=31-9x$$
$$\frac{-4y}{-4}=\frac{31-9x}{-4}$$
$$y=\frac{31-9x}{-4}$$
$$y=\frac{9x-31}{4}$$
