G(3y)=3y-2(3y)

Solution for G(3y)=3y-2(3y) equation:

Simplifying
G(3y) = 3y + -2(3y)

Remove parenthesis around (3y)
G * 3y = 3y + -2(3y)

Reorder the terms for easier multiplication:
3G * y = 3y + -2(3y)

Multiply G * y
3yG = 3y + -2(3y)

Remove parenthesis around (3y)
3yG = 3y + -2 * 3y

Multiply -2 * 3
3yG = 3y + -6y

Combine like terms: 3y + -6y = -3y
3yG = -3y

Solving
3yG = -3y

Solving for variable 'y'.

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

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

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

Factor out the Greatest Common Factor (GCF), '3y'.
3y(1 + G) = 0

Ignore the factor 3.
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 + G)' equal to zero and attempt to solve:

Simplifying
1 + G = 0

Solving
1 + G = 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 + G = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -1G

The solution to this equation could not be determined.

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