$$y=m-9n+3$$
$m=y+9n-3$
$$m-9n+3=y$$
$$m+3=y+9n$$
$$m=y+9n-3$$
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$n=\frac{3+m-y}{9}$
$$-9n+3=y-m$$
$$-9n=y-m-3$$
$$\frac{-9n}{-9}=\frac{y-m-3}{-9}$$
$$n=\frac{y-m-3}{-9}$$
$$n=\frac{m}{9}-\frac{y}{9}+\frac{1}{3}$$