$$4x+6y=2$$
$x=\frac{1-3y}{2}$
$$4x=2-6y$$
$$\frac{4x}{4}=\frac{2-6y}{4}$$
$$x=\frac{2-6y}{4}$$
$$x=\frac{1-3y}{2}$$
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$y=\frac{1-2x}{3}$
$$6y=2-4x$$
$$\frac{6y}{6}=\frac{2-4x}{6}$$
$$y=\frac{2-4x}{6}$$
$$y=\frac{1-2x}{3}$$