2y=3y-ly

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Solution for 2y=3y-ly equation:


Simplifying
2y = 3y + -1ly

Reorder the terms:
2y = -1ly + 3y

Solving
2y = -1ly + 3y

Solving for variable 'y'.

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

Add 'ly' to each side of the equation.
ly + 2y = -1ly + ly + 3y

Combine like terms: -1ly + ly = 0
ly + 2y = 0 + 3y
ly + 2y = 3y

Add '-3y' to each side of the equation.
ly + 2y + -3y = 3y + -3y

Combine like terms: 2y + -3y = -1y
ly + -1y = 3y + -3y

Combine like terms: 3y + -3y = 0
ly + -1y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(l + -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 '(l + -1)' equal to zero and attempt to solve: Simplifying l + -1 = 0 Reorder the terms: -1 + l = 0 Solving -1 + l = 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 + l = 0 + 1 Combine like terms: -1 + 1 = 0 0 + l = 0 + 1 l = 0 + 1 Combine like terms: 0 + 1 = 1 l = 1 Add '-1l' to each side of the equation. l + -1l = 1 + -1l Combine like terms: l + -1l = 0 0 = 1 + -1l Simplifying 0 = 1 + -1l 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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