(11/9)=(2-y)/(10-19)

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Solution for (11/9)=(2-y)/(10-19) equation:



(11/9)=(2-y)/(10-19)
We move all terms to the left:
(11/9)-((2-y)/(10-19))=0
We add all the numbers together, and all the variables
-((-1y+2)/(-9))+(+11/9)=0
We get rid of parentheses
-((-1y+2)/(-9))+11/9=0
We calculate fractions
(-((-1y+2)*9)/()+()/()=0
We calculate terms in parentheses: +(-((-1y+2)*9)/()+()/(), so:
-((-1y+2)*9)/()+()/(
We add all the numbers together, and all the variables
-((-1y+2)*9)/()+1
We multiply all the terms by the denominator
-((-1y+2)*9)+1*()
We calculate terms in parentheses: -((-1y+2)*9), so:
(-1y+2)*9
We multiply parentheses
-9y+18
Back to the equation:
-(-9y+18)
We add all the numbers together, and all the variables
-(-9y+18)
We get rid of parentheses
9y-18
Back to the equation:
+(9y-18)
We get rid of parentheses
9y-18=0
We move all terms containing y to the left, all other terms to the right
9y=18
y=18/9
y=2

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