Answer
$y=\frac{9}{13}$
Work Step by Step
$\frac{y}{3}+\frac{y}{5}=\frac{y+3}{10}$
Mutiply both sides by 30, the least common multiple, to eliminate fractions.
$30(\frac{y}{3})+30(\frac{y}{5})=30(\frac{y+3}{10})$
$10y+6y=3(y+3)$
Combine like terms and apply the distributive property.
$16y=3y+9$
Subtract 3y from both sides.
$16y-3y=3y+9-3y$
$13y=9$
Divide both sides by 13.
$13y\div13=9\div13$
$y=\frac{9}{13}$
