$$x+2y=6$$
$y=-\frac{x}{2}+3$
$$2y=6-x$$
$$\frac{2y}{2}=\frac{6-x}{2}$$
$$y=\frac{6-x}{2}$$
$$y=-\frac{x}{2}+3$$
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$x=6-2y$
$$x=6-2y$$