#### Answer

$\dfrac{1}{5}(9y+2)+\dfrac{1}{10}(2y-1)=2y+\dfrac{3}{10}$

#### Work Step by Step

$\dfrac{1}{5}(9y+2)+\dfrac{1}{10}(2y-1)$
Multiply the fractions by every term inside its respective parentheses:
$\dfrac{1}{5}(9y+2)+\dfrac{1}{10}(2y-1)=\dfrac{9}{5}y+\dfrac{2}{5}+\dfrac{2}{10}y-\dfrac{1}{10}=...$
$...=\dfrac{9}{5}y+\dfrac{2}{5}+\dfrac{1}{5}y-\dfrac{1}{10}=...$
Simplify like terms:
$...=\dfrac{10}{5}y+\dfrac{20-5}{50}=2y+\dfrac{15}{50}=2y+\dfrac{3}{10}$