(3y+4)/(2-6y)=-2/5

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Solution for (3y+4)/(2-6y)=-2/5 equation: 



(3y+4)/(2-6y)=-2/5

We move all terms to the left:

(3y+4)/(2-6y)-(-2/5)=0



Domain of the equation: (2-6y)!=0

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

-6y!=-2

y!=-2/-6

y!=1/3

y∈R



We add all the numbers together, and all the variables

(3y+4)/(-6y+2)-(-2/5)=0

We get rid of parentheses

(3y+4)/(-6y+2)+2/5=0

We calculate fractions


(15y+20)/(-30y+10)+(-12y+4)/(-30y+10)=0

We multiply all the terms by the denominator


(15y+20)+(-12y+4)=0

We get rid of parentheses

15y-12y+20+4=0

We add all the numbers together, and all the variables

3y+24=0

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

3y=-24

y=-24/3

y=-8

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