Answer
$\displaystyle \frac{7}{5y}$
Work Step by Step
To add rational expressions with the same denominator,
add numerators and place the sum over the common denominator.
If possible, factor and simplify the result.
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$\displaystyle \frac{4y-1}{5y^{2}}+\frac{3y+1}{5y^{2}} = \displaystyle \frac{4y-1+3y+1}{5y^{2}}$
$= \displaystyle \frac{7y}{5y^{2}}$
$= \displaystyle \frac{y(7)}{y(5y)}\qquad$... reduce the common factor
$=\displaystyle \frac{7}{5y}$
