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(y-1/y-7)+1=y-4/y-3
We move all terms to the left:
(y-1/y-7)+1-(y-4/y-3)=0
Domain of the equation: y-7)!=0
y∈R
Domain of the equation: y-3)!=0We get rid of parentheses
y∈R
y-1/y-y+4/y-7+3+1=0
We multiply all the terms by the denominator
y*y-y*y-7*y+3*y+1*y-1+4=0
We add all the numbers together, and all the variables
-3y+y*y-y*y+3=0
Wy multiply elements
y^2-1y^2-3y+3=0
We add all the numbers together, and all the variables
-3y+3=0
We move all terms containing y to the left, all other terms to the right
-3y=-3
y=-3/-3
y=1
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