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

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



2/5(y+5)-2=3/5(3-y)
We move all terms to the left:
2/5(y+5)-2-(3/5(3-y))=0
Domain of the equation: 5(y+5)!=0
y∈R
Domain of the equation: 5(3-y))!=0
y∈R
We add all the numbers together, and all the variables
2/5(y+5)-(3/5(-1y+3))-2=0
We calculate fractions
(10y(-)/(5(y+5)*5(-1y+3)))+(-15yy/(5(y+5)*5(-1y+3)))-2=0
We calculate terms in parentheses: +(10y(-)/(5(y+5)*5(-1y+3))), so:
10y(-)/(5(y+5)*5(-1y+3))
We add all the numbers together, and all the variables
10y0/(5(y+5)*5(-1y+3))
We multiply all the terms by the denominator
10y0
We add all the numbers together, and all the variables
10y
Back to the equation:
+(10y)
We calculate terms in parentheses: +(-15yy/(5(y+5)*5(-1y+3))), so:
-15yy/(5(y+5)*5(-1y+3))
We multiply all the terms by the denominator
-15yy
Back to the equation:
+(-15yy)
We get rid of parentheses
10y-15yy-2=0
We move all terms containing y to the left, all other terms to the right
10y-15yy=2

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