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

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



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

We move all terms to the left:

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



Domain of the equation: (y-3)!=0

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

y!=3

y∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(6y+12)/(3y-9)+(-2y+6)/(3y-9)=0

We multiply all the terms by the denominator


(6y+12)+(-2y+6)=0

We get rid of parentheses

6y-2y+12+6=0

We add all the numbers together, and all the variables

4y+18=0

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

4y=-18

y=-18/4

y=-4+1/2

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