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