How do you solve \frac { 1} { y + 3} = \frac { 7} { y - 3} - \frac { 2} { y ^ { 2} - 9}? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Lucy May 11, 2018 y=-11/3 Explanation: 1/(y+3)=7/(y-3)-2/(y^2-9) 1/(y+3)=7/(y-3)-2/((y-3)(y+3)) (y-3)/((y-3)(y+3))=(7(y+3))/((y-3)(y+3))-2/((y-3)(y+3)) y-3=7y+21-2 6y=-3-21+2 6y=-22 y=-11/3 Answer link Related questions What is Clearing Denominators in Rational Equations? How do you solve rational expressions by multiplying by the least common multiple? How do you solve 5x-\frac{1}{x}=4? How do you solve -3 + \frac{1}{x+1}=\frac{2}{x} by finding the least common multiple? What is the least common multiple for \frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6} and how do... How do you solve \frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}? How do you solve by clearing the denominator of 3/x+2/x^2=4? How do you solve 2/(x^2+2x+1)-3/(x+1)=4? How do you solve equations with rational expressions 1/x+2/x=10? How do you solve for y in (y+5)/ 2 - y/3 =1? See all questions in Clearing Denominators in Rational Equations Impact of this question 1443 views around the world You can reuse this answer Creative Commons License