$$15x+y+0.0625Z=100$$
$Z=1600-16y-240x$
$$y+0.0625Z=100-15x$$
$$0.0625Z=100-15x-y$$
$$0.0625Z=100-y-15x$$
$$\frac{0.0625Z}{0.0625}=\frac{100-y-15x}{0.0625}$$
$$Z=\frac{100-y-15x}{0.0625}$$
$$Z=1600-16y-240x$$
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$x=-\frac{Z}{240}-\frac{y}{15}+\frac{20}{3}$
$$15x+0.0625Z=100-y$$
$$15x=100-y-0.0625Z$$
$$15x=-\frac{Z}{16}-y+100$$
$$\frac{15x}{15}=\frac{-\frac{Z}{16}-y+100}{15}$$
$$x=\frac{-\frac{Z}{16}-y+100}{15}$$
$$x=-\frac{Z}{240}-\frac{y}{15}+\frac{20}{3}$$
