$$(x+6y=27$$
$y=-\frac{x}{6}+\frac{9}{2}$
$$6y=27-x$$
$$\frac{6y}{6}=\frac{27-x}{6}$$
$$y=\frac{27-x}{6}$$
$$y=-\frac{x}{6}+\frac{9}{2}$$
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$x=27-6y$
$$x=27-6y$$