$$2x+5y=-1$$
$x=\frac{-5y-1}{2}$
$$2x=-1-5y$$
$$2x=-5y-1$$
$$\frac{2x}{2}=\frac{-5y-1}{2}$$
$$x=\frac{-5y-1}{2}$$
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$y=\frac{-2x-1}{5}$
$$5y=-1-2x$$
$$5y=-2x-1$$
$$\frac{5y}{5}=\frac{-2x-1}{5}$$
$$y=\frac{-2x-1}{5}$$
