y=ln(y)

Solution for y=ln(y) equation:

Simplifying
y = ln(y)

Multiply ln * y
y = lny

Solving
y = lny

Solving for variable 'y'.

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

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

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

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

Simplifying
-1ln + 1 = 0

Reorder the terms:
1 + -1ln = 0

Solving
1 + -1ln = 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 + -1ln = 0 + -1

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

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

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

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

Simplifying
0 = -1 + ln

The solution to this equation could not be determined.

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