(y-8)/(y+9)=9/10

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Solution for (y-8)/(y+9)=9/10 equation: 



(y-8)/(y+9)=9/10

We move all terms to the left:

(y-8)/(y+9)-(9/10)=0



Domain of the equation: (y+9)!=0

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

y!=-9

y∈R



We add all the numbers together, and all the variables

(y-8)/(y+9)-(+9/10)=0

We get rid of parentheses

(y-8)/(y+9)-9/10=0

We calculate fractions


(10y-80)/(10y+90)+(-9y-81)/(10y+90)=0

We multiply all the terms by the denominator


(10y-80)+(-9y-81)=0

We get rid of parentheses

10y-9y-80-81=0

We add all the numbers together, and all the variables

y-161=0

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

y=161

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