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