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6/y-5=10/y+1
We move all terms to the left:
6/y-5-(10/y+1)=0
Domain of the equation: y!=0
y∈R
Domain of the equation: y+1)!=0We get rid of parentheses
y∈R
6/y-10/y-1-5=0
We multiply all the terms by the denominator
-1*y-5*y+6-10=0
We add all the numbers together, and all the variables
-6y-4=0
We move all terms containing y to the left, all other terms to the right
-6y=4
y=4/-6
y=-2/3
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