Y(6y-1)=0

Solution for Y(6y-1)=0 equation:

Simplifying
Y(6y + -1) = 0

Reorder the terms:
Y(-1 + 6y) = 0
(-1 * Y + 6y * Y) = 0
(-1Y + 6yY) = 0

Solving
-1Y + 6yY = 0

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(-1 + 6y) = 0

Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve:

Simplifying
Y = 0

Solving
Y = 0

Move all terms containing Y to the left, all other terms to the right.

Simplifying
Y = 0
Subproblem 2
Set the factor '(-1 + 6y)' equal to zero and attempt to solve:

Simplifying
-1 + 6y = 0

Solving
-1 + 6y = 0

Move all terms containing Y to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 6y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6y = 0 + 1
6y = 0 + 1

Combine like terms: 0 + 1 = 1
6y = 1

Add '-6y' to each side of the equation.
6y + -6y = 1 + -6y

Combine like terms: 6y + -6y = 0
0 = 1 + -6y

Simplifying
0 = 1 + -6y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
Y = {0}