$$3x-18=6y$$
$x=2\left(y+3\right)$
$$3x=6y+18$$
$$\frac{3x}{3}=\frac{6y+18}{3}$$
$$x=\frac{6y+18}{3}$$
$$x=2y+6$$
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$y=\frac{x-6}{2}$
$$6y=3x-18$$
$$\frac{6y}{6}=\frac{3x-18}{6}$$
$$y=\frac{3x-18}{6}$$
$$y=\frac{x}{2}-3$$