$$X-3Y=9$$
$Y=\frac{X-9}{3}$
$$-3Y=9-X$$
$$\frac{-3Y}{-3}=\frac{9-X}{-3}$$
$$Y=\frac{9-X}{-3}$$
$$Y=\frac{X}{3}-3$$
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$X=3\left(Y+3\right)$
$$X=9+3Y$$