How do you solve (3y)/4 - y/3 = 10 ? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer Shwetank Mauria Feb 18, 2016 Solution is y=24 Explanation: To solve (3y)/4−y/3=10, multiply each term by LCM of denominators of all fractions. As these are 3 and 4, let us multiply by 12. Equation then becomes (3y)*12/4−y*12/3=10*12 or 9y-4y=120 i.e. 5y=120 i.e. y=120/5=24 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 1790 views around the world You can reuse this answer Creative Commons License