(2-y)/(y-7)=3/5

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Solution for (2-y)/(y-7)=3/5 equation: 



(2-y)/(y-7)=3/5

We move all terms to the left:

(2-y)/(y-7)-(3/5)=0



Domain of the equation: (y-7)!=0

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

y!=7

y∈R



We add all the numbers together, and all the variables

(-1y+2)/(y-7)-(+3/5)=0

We get rid of parentheses

(-1y+2)/(y-7)-3/5=0

We calculate fractions


(-5y+10)/(5y-35)+(-3y+21)/(5y-35)=0

We multiply all the terms by the denominator


(-5y+10)+(-3y+21)=0

We get rid of parentheses

-5y-3y+10+21=0

We add all the numbers together, and all the variables

-8y+31=0

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

-8y=-31

y=-31/-8

y=3+7/8

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