2-(1/y-2)=(y-3)/(y-2)

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Solution for 2-(1/y-2)=(y-3)/(y-2) equation:



2-(1/y-2)=(y-3)/(y-2)
We move all terms to the left:
2-(1/y-2)-((y-3)/(y-2))=0
Domain of the equation: y-2)!=0
y∈R
Domain of the equation: (y-2))!=0
y∈R
We get rid of parentheses
-1/y-((y-3)/(y-2))+2+2=0
We calculate fractions
-1y^2)+(-((y-3)*y)/(-1y^2)+(-1*(y-2)))/(+2+2=0
We calculate terms in parentheses: -((y-3)*y)/(-1y^2), so:
(y-3)*y)/(-1y^2
determiningTheFunctionDomain -1y^2+(y-3)*y)/(
We multiply all the terms by the denominator
-1y^2*(+(y-3)*y)
Back to the equation:
-(-1y^2*(+(y-3)*y))
We add all the numbers together, and all the variables
-1y^2)+(-(-1y^2*(+(y-3)*y))+(-1*(y-2)))/(+4=0
We multiply all the terms by the denominator
()*(-((-1y^2*(+(y-3)*y)))*(+(-1*(y-2)))+4*(-1y^2=0

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