(6y+9)/(4-y)=(4)/(5)

Solution for (6y+9)/(4-y)=(4)/(5) equation:

(6y+9)/(4-y)=(4)/(5)

We move all terms to the left:

(6y+9)/(4-y)-((4)/(5))=0


Domain of the equation: (4-y)!=0

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

-y!=-4

y!=-4/-1

y!=+4

y∈R


We add all the numbers together, and all the variables

(6y+9)/(-1y+4)-(+4/5)=0

We get rid of parentheses

(6y+9)/(-1y+4)-4/5=0

We calculate fractions


(30y+45)/(-5y+20)+(4y-16)/(-5y+20)=0

We multiply all the terms by the denominator


(30y+45)+(4y-16)=0

We get rid of parentheses

30y+4y+45-16=0

We add all the numbers together, and all the variables

34y+29=0

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

34y=-29

y=-29/34

y=-29/34