(8y-5)/(5y-4)=13/8

Solution for (8y-5)/(5y-4)=13/8 equation:

(8y-5)/(5y-4)=13/8

We move all terms to the left:

(8y-5)/(5y-4)-(13/8)=0


Domain of the equation: (5y-4)!=0

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

5y!=4

y!=4/5

y!=4/5

y∈R


We add all the numbers together, and all the variables

(8y-5)/(5y-4)-(+13/8)=0

We get rid of parentheses

(8y-5)/(5y-4)-13/8=0

We calculate fractions


(64y-40)/(40y-32)+(-65y+52)/(40y-32)=0

We multiply all the terms by the denominator


(64y-40)+(-65y+52)=0

We get rid of parentheses

64y-65y-40+52=0

We add all the numbers together, and all the variables

-1y+12=0

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

-y=-12

y=-12/-1

y=+12