$$3y=1+2x$$
$x=\frac{3y-1}{2}$
$$1+2x=3y$$
$$2x=3y-1$$
$$\frac{2x}{2}=\frac{3y-1}{2}$$
$$x=\frac{3y-1}{2}$$
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$y=\frac{2x+1}{3}$
$$3y=2x+1$$
$$\frac{3y}{3}=\frac{2x+1}{3}$$
$$y=\frac{2x+1}{3}$$
