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