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