$$\frac{ y-8 }{ 3 } = \frac{ y-2 }{ 5 }$$
$y=17$
$$5\left(y-8\right)=3\left(y-2\right)$$
$$5y-40=3\left(y-2\right)$$
$$5y-40=3y-6$$
$$5y-40-3y=-6$$
$$2y-40=-6$$
$$2y=-6+40$$
$$2y=34$$
$$y=\frac{34}{2}$$
$$y=17$$
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