$$4x-3y=4$$
$x=\frac{3y}{4}+1$
$$4x=4+3y$$
$$4x=3y+4$$
$$\frac{4x}{4}=\frac{3y+4}{4}$$
$$x=\frac{3y+4}{4}$$
$$x=\frac{3y}{4}+1$$
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$y=\frac{4\left(x-1\right)}{3}$
$$-3y=4-4x$$
$$\frac{-3y}{-3}=\frac{4-4x}{-3}$$
$$y=\frac{4-4x}{-3}$$
$$y=\frac{4x-4}{3}$$
