y=cos(3y)

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Solution for y=cos(3y) equation: 


Simplifying
y = cos(3y)

Remove parenthesis around (3y)
y = cos * 3y

Reorder the terms for easier multiplication:
y = 3cos * y

Multiply cos * y
y = 3cosy

Solving
y = 3cosy

Solving for variable 'y'.

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

Add '-3cosy' to each side of the equation.
-3cosy + y = 3cosy + -3cosy

Combine like terms: 3cosy + -3cosy = 0
-3cosy + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3cos + 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 '(-3cos + 1)' equal to zero and attempt to solve:

Simplifying
-3cos + 1 = 0

Reorder the terms:
1 + -3cos = 0

Solving
1 + -3cos = 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 + -3cos = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3cos = 0 + -1
-3cos = 0 + -1

Combine like terms: 0 + -1 = -1
-3cos = -1

Add '3cos' to each side of the equation.
-3cos + 3cos = -1 + 3cos

Combine like terms: -3cos + 3cos = 0
0 = -1 + 3cos

Simplifying
0 = -1 + 3cos

The solution to this equation could not be determined.

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

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