$$2x+y-8=0$$
$x=-\frac{y}{2}+4$
$$2x-8=-y$$
$$2x=-y+8$$
$$2x=8-y$$
$$\frac{2x}{2}=\frac{8-y}{2}$$
$$x=\frac{8-y}{2}$$
$$x=-\frac{y}{2}+4$$
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$y=8-2x$
$$y-8=-2x$$
$$y=-2x+8$$
