$$3x-7y+4=0$$
$x=\frac{7y-4}{3}$
$$3x+4=7y$$
$$3x=7y-4$$
$$\frac{3x}{3}=\frac{7y-4}{3}$$
$$x=\frac{7y-4}{3}$$
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$y=\frac{3x+4}{7}$
$$-7y+4=-3x$$
$$-7y=-3x-4$$
$$\frac{-7y}{-7}=\frac{-3x-4}{-7}$$
$$y=\frac{-3x-4}{-7}$$
$$y=\frac{3x+4}{7}$$