$$\frac { y + 7 } { 3 } = 1 + \frac { 3 y - 2 } { 5 }$$
$y = \frac{13}{2} = 6\frac{1}{2} = 6.5$
$$5\left(y+7\right)=15+3\left(3y-2\right)$$
$$5y+35=15+3\left(3y-2\right)$$
$$5y+35=15+9y-6$$
$$5y+35=9+9y$$
$$5y+35-9y=9$$
$$-4y+35=9$$
$$-4y=9-35$$
$$-4y=-26$$
$$y=\frac{-26}{-4}$$
$$y=\frac{13}{2}$$
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