(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-11=0
We move all terms containing y to the left, all other terms to the right
-8y=11
y=11/-8
y=-1+3/8

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