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

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



(2-y)/(y+7)=-3/2
We move all terms to the left:
(2-y)/(y+7)-(-3/2)=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)-(-3/2)=0
We get rid of parentheses
(-1y+2)/(y+7)+3/2=0
We calculate fractions
(-2y+4)/(2y+14)+(3y+21)/(2y+14)=0
We multiply all the terms by the denominator
(-2y+4)+(3y+21)=0
We get rid of parentheses
-2y+3y+4+21=0
We add all the numbers together, and all the variables
y+25=0
We move all terms containing y to the left, all other terms to the right
y=-25

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