$$y=-4x+3$$
$x=\frac{3-y}{4}$
$$-4x+3=y$$
$$-4x=y-3$$
$$\frac{-4x}{-4}=\frac{y-3}{-4}$$
$$x=\frac{y-3}{-4}$$
$$x=\frac{3-y}{4}$$
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$y=3-4x$