12/(13-y)=5/y

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Solution for 12/(13-y)=5/y equation: 



12/(13-y)=5/y

We move all terms to the left:

12/(13-y)-(5/y)=0



Domain of the equation: (13-y)!=0

We move all terms containing y to the left, all other terms to the right

-y!=-13

y!=-13/-1

y!=+13

y∈R





Domain of the equation: y)!=0

y!=0/1

y!=0

y∈R



We add all the numbers together, and all the variables

12/(-1y+13)-(+5/y)=0

We get rid of parentheses

12/(-1y+13)-5/y=0

We calculate fractions


12y/(-1y^2+13y)+(5y-65)/(-1y^2+13y)=0

We multiply all the terms by the denominator


12y+(5y-65)=0

We get rid of parentheses

12y+5y-65=0

We add all the numbers together, and all the variables

17y-65=0

We move all terms containing y to the left, all other terms to the right

17y=65

y=65/17

y=3+14/17

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