2/(y-5)=3/(y+6)

Solution for 2/(y-5)=3/(y+6) equation:

2/(y-5)=3/(y+6)

We move all terms to the left:

2/(y-5)-(3/(y+6))=0


Domain of the equation: (y-5)!=0

We move all terms containing y to the left, all other terms to the right

y!=5

y∈R



Domain of the equation: (y+6))!=0

y∈R


We calculate fractions


2y/((y-5)*(y+6)))+(-(3*(y-5))/((y-5)*(y+6)))=0


We calculate terms in parentheses: -(3*(y-5))/((y-5)*(y+6))), so:

3*(y-5))/((y-5)*(y+6))

We multiply all the terms by the denominator


3*(y-5))

We multiply parentheses

3y+

We add all the numbers together, and all the variables

3y

Back to the equation:

-(3y)


We add all the numbers together, and all the variables

-3y+2y/((y-5)*(y+6)))+(=0

We multiply all the terms by the denominator


-3y*((y-5)*(y+6)))+(+2y=0

We add all the numbers together, and all the variables

2y-3y*((y-5)*(y+6)))+(=0