(5y-1)/(1-5y)=1/4

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Solution for (5y-1)/(1-5y)=1/4 equation: 



(5y-1)/(1-5y)=1/4

We move all terms to the left:

(5y-1)/(1-5y)-(1/4)=0



Domain of the equation: (1-5y)!=0

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

-5y!=-1

y!=-1/-5

y!=1/5

y∈R



We add all the numbers together, and all the variables

(5y-1)/(-5y+1)-(+1/4)=0

We get rid of parentheses

(5y-1)/(-5y+1)-1/4=0

We calculate fractions


(20y-4)/(-20y+4)+(-1*(-5y+1))/(-20y+4)=0



We calculate terms in parentheses: +(-1*(-5y+1))/(-20y+4), so:

-1*(-5y+1))/(-20y+4

We add all the numbers together, and all the variables

-20y-1*(-5y+1))/(+4

We multiply all the terms by the denominator


-20y*(-1*(-5y+1))+4*(

We add all the numbers together, and all the variables

-20y*(-1*(-5y+1))

Back to the equation:

+(-20y*(-1*(-5y+1)))



We multiply all the terms by the denominator


(20y-4)+((-20y*(-1*(-5y+1))))*(-20y+4)=0



We calculate terms in parentheses: +((-20y*(-1*(-5y+1))))*(-20y+4), so:

(-20y*(-1*(-5y+1))))*(-20y+4

We add all the numbers together, and all the variables

-20y+(-20y*(-1*(-5y+1))))*(+4

Back to the equation:

+(-20y+(-20y*(-1*(-5y+1))))*(+4)



We add all the numbers together, and all the variables

(20y-4)+(-20y+(-20y*(-1*(-5y+1))))*4=0

We get rid of parentheses

20y+(-20y+(-20y*(-1*(-5y+1))))*4-4=0

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

20y+(-20y+(-20y*(-1*(-5y+1))))*4=4

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