G(3y)=3y-18y

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Solution for G(3y)=3y-18y equation:


Simplifying
G(3y) = 3y + -18y

Remove parenthesis around (3y)
G * 3y = 3y + -18y

Reorder the terms for easier multiplication:
3G * y = 3y + -18y

Multiply G * y
3yG = 3y + -18y

Combine like terms: 3y + -18y = -15y
3yG = -15y

Solving
3yG = -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
15y + 3yG = -15y + 15y

Combine like terms: -15y + 15y = 0
15y + 3yG = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(5 + 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 '(5 + G)' equal to zero and attempt to solve: Simplifying 5 + G = 0 Solving 5 + G = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + G = 0 + -5 Combine like terms: 5 + -5 = 0 0 + G = 0 + -5 G = 0 + -5 Combine like terms: 0 + -5 = -5 G = -5 Add '-1G' to each side of the equation. G + -1G = -5 + -1G Combine like terms: G + -1G = 0 0 = -5 + -1G Simplifying 0 = -5 + -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}

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