4/(y+9)=6/(y-7)

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Solution for 4/(y+9)=6/(y-7) equation: 



4/(y+9)=6/(y-7)

We move all terms to the left:

4/(y+9)-(6/(y-7))=0



Domain of the equation: (y+9)!=0

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

y!=-9

y∈R





Domain of the equation: (y-7))!=0

y∈R



We calculate fractions


4y/((y+9)*(y-7)))+(-(6*(y+9))/((y+9)*(y-7)))=0



We calculate terms in parentheses: -(6*(y+9))/((y+9)*(y-7))), so:

6*(y+9))/((y+9)*(y-7))

We multiply all the terms by the denominator


6*(y+9))

We multiply parentheses

6y+

We add all the numbers together, and all the variables

6y

Back to the equation:

-(6y)



We add all the numbers together, and all the variables

-6y+4y/((y+9)*(y-7)))+(=0

We multiply all the terms by the denominator


-6y*((y+9)*(y-7)))+(+4y=0

We add all the numbers together, and all the variables

4y-6y*((y+9)*(y-7)))+(=0

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