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2/(y+4)+5/(y-3)=7(y+5)
We move all terms to the left:
2/(y+4)+5/(y-3)-(7(y+5))=0
Domain of the equation: (y+4)!=0
We move all terms containing y to the left, all other terms to the right
y!=-4
y∈R
Domain of the equation: (y-3)!=0We calculate fractions
We move all terms containing y to the left, all other terms to the right
y!=3
y∈R
-(7(y+5))+(2y-6)/((y+4)*(y-3))+(5y+20)/((y+4)*(y-3))=0
We calculate terms in parentheses: -(7(y+5)), so:
7(y+5)
We multiply parentheses
7y+35
Back to the equation:
-(7y+35)
We calculate terms in parentheses: +(2y-6)/((y+4)*(y-3)), so:
2y-6)/((y+4)*(y-3)
We multiply all the terms by the denominator
2y*((y+4)*(y-3)-6)
Back to the equation:
+(2y*((y+4)*(y-3)-6))
We calculate terms in parentheses: +(5y+20)/((y+4)*(y-3)), so:We get rid of parentheses
5y+20)/((y+4)*(y-3)
We multiply all the terms by the denominator
5y*((y+4)*(y-3)+20)
Back to the equation:
+(5y*((y+4)*(y-3)+20))
-7y+(2y*((y+4)*(y-3)-6))+(5y*((y+4)*(y-3)+20))-35=0
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
We calculate terms in parentheses: +(5y*((y+4)*(y-3)+20)), so:
5y*((y+4)*(y-3)+20)
We calculate terms in parentheses: +(2y*((y+4)*(y-3)-6)), so:
2y*((y+4)*(y-3)-6)
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