(Y+3)/2=(y+5)/3

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Solution for (Y+3)/2=(y+5)/3 equation: 



(+3)/2=(Y+5)/3

We move all terms to the left:

(+3)/2-((Y+5)/3)=0

We add all the numbers together, and all the variables

-((Y+5)/3)+3/2=0

We calculate fractions


(-((Y+5)*2)/()+()/()=0



We calculate terms in parentheses: +(-((Y+5)*2)/()+()/(), so:

-((Y+5)*2)/()+()/(

We add all the numbers together, and all the variables

-((Y+5)*2)/()+1

We multiply all the terms by the denominator


-((Y+5)*2)+1*()



We calculate terms in parentheses: -((Y+5)*2), so:

(Y+5)*2

We multiply parentheses

2Y+10

Back to the equation:

-(2Y+10)



We add all the numbers together, and all the variables

-(2Y+10)

We get rid of parentheses

-2Y-10

Back to the equation:

+(-2Y-10)



We get rid of parentheses

-2Y-10=0

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

-2Y=10

Y=10/-2

Y=-5

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