$$x/5+6y/2=3/8$$
$x=\frac{15}{8}-15y$
$$8x+20\times 6y=15$$
$$8x+120y=15$$
$$8x=15-120y$$
$$\frac{8x}{8}=\frac{15-120y}{8}$$
$$x=\frac{15-120y}{8}$$
$$x=\frac{15}{8}-15y$$
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$y=-\frac{x}{15}+\frac{1}{8}$
$$120y=15-8x$$
$$\frac{120y}{120}=\frac{15-8x}{120}$$
$$y=\frac{15-8x}{120}$$
$$y=-\frac{x}{15}+\frac{1}{8}$$
