$$2x+5y=8$$
$x=-\frac{5y}{2}+4$
$$2x=8-5y$$
$$\frac{2x}{2}=\frac{8-5y}{2}$$
$$x=\frac{8-5y}{2}$$
$$x=-\frac{5y}{2}+4$$
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$y=\frac{8-2x}{5}$
$$5y=8-2x$$
$$\frac{5y}{5}=\frac{8-2x}{5}$$
$$y=\frac{8-2x}{5}$$