-y=2lny

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Solution for -y=2lny equation:


Simplifying
-1y = 2lny

Solving
-1y = 2lny

Solving for variable 'y'.

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

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

Combine like terms: 2lny + -2lny = 0
-2lny + -1y = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(2ln + 1) = 0

Ignore the factor -1.

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 '(2ln + 1)' equal to zero and attempt to solve: Simplifying 2ln + 1 = 0 Reorder the terms: 1 + 2ln = 0 Solving 1 + 2ln = 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 + 2ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ln = 0 + -1 2ln = 0 + -1 Combine like terms: 0 + -1 = -1 2ln = -1 Add '-2ln' to each side of the equation. 2ln + -2ln = -1 + -2ln Combine like terms: 2ln + -2ln = 0 0 = -1 + -2ln Simplifying 0 = -1 + -2ln 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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