y=y^4

Solution for y=y^4 equation:

Simplifying
y = y4

Solving
y = y4

Solving for variable 'y'.

Combine like terms: y4 + -1y4 = 0
y + -1y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + -1y3) = 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 + -1y3)' equal to zero and attempt to solve:

Simplifying
1 + -1y3 = 0

Solving
1 + -1y3 = 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 + -1y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y3 = 0 + -1
-1y3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1y3 = -1

Divide each side by '-1'.
y3 = 1

Simplifying
y3 = 1

The solution to this equation could not be determined.

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