(Y-4)/6=(2-y)/3

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Solution for (Y-4)/6=(2-y)/3 equation: 



(-4)/6=(2-Y)/3

We move all terms to the left:

(-4)/6-((2-Y)/3)=0

We add all the numbers together, and all the variables

-((-1Y+2)/3)+(-4)/6=0

We calculate fractions


(-((-1Y+2)*6)/()+()/()=0



We calculate terms in parentheses: +(-((-1Y+2)*6)/()+()/(), so:

-((-1Y+2)*6)/()+()/(

We add all the numbers together, and all the variables

-((-1Y+2)*6)/()+1

We multiply all the terms by the denominator


-((-1Y+2)*6)+1*()



We calculate terms in parentheses: -((-1Y+2)*6), so:

(-1Y+2)*6

We multiply parentheses

-6Y+12

Back to the equation:

-(-6Y+12)



We add all the numbers together, and all the variables

-(-6Y+12)

We get rid of parentheses

6Y-12

Back to the equation:

+(6Y-12)



We get rid of parentheses

6Y-12=0

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

6Y=12

Y=12/6

Y=2

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