$$y= \frac{ 1 }{ 2 } x+2$$
$x=2\left(y-2\right)$
$$\frac{1}{2}x+2=y$$
$$\frac{1}{2}x=y-2$$
$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-2}{\frac{1}{2}}$$
$$x=\frac{y-2}{\frac{1}{2}}$$
$$x=2y-4$$
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$y=\frac{x+4}{2}$