(14)/(y-7)-(2)/(y)=(19y+7)/(y^2-49)

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Solution for (14)/(y-7)-(2)/(y)=(19y+7)/(y^2-49) equation: 



(14)/(y-7)-(2)/(y)=(19y+7)/(y^2-49)

We move all terms to the left:

(14)/(y-7)-(2)/(y)-((19y+7)/(y^2-49))=0



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

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

y!=7

y∈R





Domain of the equation: y!=0

y∈R





Domain of the equation: (y^2-49))!=0

y∈R



We calculate fractions


(14y^2*()/((y-7)*y*(y^2-49)))+(-2*(y-7)*(y^2-49)))/((y-7)*y*(y^2-49)))+(-((19y+7)*(y-7)*y)/((y-7)*y*(y^2-49)))=0



We calculate terms in parentheses: +(14y^2*()/((y-7)*y*(y^2-49))), so:

14y^2*()/((y-7)*y*(y^2-49))

We multiply all the terms by the denominator


14y^2*()

Back to the equation:

+(14y^2*())





We calculate terms in parentheses: +(-2*(y-7)*(y^2-49)))/((y-7)*y*(y^2-49)))+(-((19y+7)*(y-7)*y)/((y-7)*y*(y^2-49))), so:

-2*(y-7)*(y^2-49)))/((y-7)*y*(y^2-49)))+(-((19y+7)*(y-7)*y)/((y-7)*y*(y^2-49))

We add all the numbers together, and all the variables

-2*(y-7)*(y^2-49)))/((y-7)*y*(y^2-49)))+(-((19y+7)*(y-7)*y)/((y-7)*y*(y^2

We multiply all the terms by the denominator


-2*(y-7)*(y^2-49)))-7*y*y^2*((y-49))+(-(19y*((y+7*y*((y-7)*y)-7*y*y^2*((y

Back to the equation:

+(-2*(y-7)*(y^2-49)))-7*y*y^2*((y-49))+(-(19y*((y+7*y*((y-7)*y)-7*y*y^2*((y)





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