1/6y-1/2y=3-1/2y

Solution for 1/6y-1/2y=3-1/2y equation:

1/6y-1/2y=3-1/2y

We move all terms to the left:

1/6y-1/2y-(3-1/2y)=0


Domain of the equation: 6y!=0

y!=0/6

y!=0

y∈R



Domain of the equation: 2y!=0

y!=0/2

y!=0

y∈R



Domain of the equation: 2y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

1/6y-1/2y-(-1/2y+3)=0

We get rid of parentheses

1/6y-1/2y+1/2y-3=0

We calculate fractions


2y/12y^2+(6y-1)/12y^2-3=0

We multiply all the terms by the denominator


2y+(6y-1)-3*12y^2=0

Wy multiply elements

-36y^2+2y+(6y-1)=0

We get rid of parentheses

-36y^2+2y+6y-1=0

We add all the numbers together, and all the variables

-36y^2+8y-1=0

a = -36; b = 8; c = -1;
Δ = b2-4ac
Δ = 82-4·(-36)·(-1)
Δ = -80
Delta is less than zero, so there is no solution for the equation