Answer
$\dfrac{3y}{y^{2}+3y-10}-\dfrac{6}{y^{2}+3y-10}=\dfrac{3}{y+5}$
Work Step by Step
$\dfrac{3y}{y^{2}+3y-10}-\dfrac{6}{y^{2}+3y-10}$
Evaluate the substraction of the two rational expressions:
$\dfrac{3y}{y^{2}+3y-10}-\dfrac{6}{y^{2}+3y-10}=\dfrac{3y-6}{y^{2}+3y-10}=...$
Factor the denominator and take out common factor $3$ from the numerator. Then, simplify:
$...=\dfrac{3(y-2)}{(y+5)(y-2)}=\dfrac{3}{y+5}$
