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

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



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

We move all terms to the left:

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



Domain of the equation: (y+2)!=0

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

y!=-2

y∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(5y-15)/(5y+10)+(-4y-8)/(5y+10)=0

We multiply all the terms by the denominator


(5y-15)+(-4y-8)=0

We get rid of parentheses

5y-4y-15-8=0

We add all the numbers together, and all the variables

y-23=0

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

y=23

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