$$4x-2y+1=0$$
$x=\frac{y}{2}-\frac{1}{4}$
$$4x+1=2y$$
$$4x=2y-1$$
$$\frac{4x}{4}=\frac{2y-1}{4}$$
$$x=\frac{2y-1}{4}$$
$$x=\frac{y}{2}-\frac{1}{4}$$
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$y=2x+\frac{1}{2}$
$$-2y+1=-4x$$
$$-2y=-4x-1$$
$$\frac{-2y}{-2}=\frac{-4x-1}{-2}$$
$$y=\frac{-4x-1}{-2}$$
$$y=2x+\frac{1}{2}$$
