(y-4)/(y+5)=2/3

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Solution for (y-4)/(y+5)=2/3 equation: 



(y-4)/(y+5)=2/3

We move all terms to the left:

(y-4)/(y+5)-(2/3)=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



We add all the numbers together, and all the variables

(y-4)/(y+5)-(+2/3)=0

We get rid of parentheses

(y-4)/(y+5)-2/3=0

We calculate fractions


(3y-12)/(3y+15)+(-2y-10)/(3y+15)=0

We multiply all the terms by the denominator


(3y-12)+(-2y-10)=0

We get rid of parentheses

3y-2y-12-10=0

We add all the numbers together, and all the variables

y-22=0

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

y=22

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