Answer
$y= \frac{x}{2}-3$
Work Step by Step
By subtracting $x$ from each side and then dividing each side by -2, we get:
$$x-2y=6\Longrightarrow -2y=6-x \\
\Longrightarrow y=-\frac{6-x}{2}=\frac{x}{2}-3
.$$
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