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1/2(y+2)=1/3(2y+6)
We move all terms to the left:
1/2(y+2)-(1/3(2y+6))=0
Domain of the equation: 2(y+2)!=0
y∈R
Domain of the equation: 3(2y+6))!=0We calculate fractions
y∈R
(3y2/(2(y+2)*3(2y+6)))+(-2yy/(2(y+2)*3(2y+6)))=0
We calculate terms in parentheses: +(3y2/(2(y+2)*3(2y+6))), so:
3y2/(2(y+2)*3(2y+6))
We multiply all the terms by the denominator
3y2
We add all the numbers together, and all the variables
3y^2
Back to the equation:
+(3y^2)
We calculate terms in parentheses: +(-2yy/(2(y+2)*3(2y+6))), so:We get rid of parentheses
-2yy/(2(y+2)*3(2y+6))
We multiply all the terms by the denominator
-2yy
Back to the equation:
+(-2yy)
3y^2-2yy=0
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