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Simplifying ln(y + 2) = ln(35) + -1ln(y) Reorder the terms: ln(2 + y) = ln(35) + -1ln(y) (2 * ln + y * ln) = ln(35) + -1ln(y) (2ln + lny) = ln(35) + -1ln(y) Reorder the terms for easier multiplication: 2ln + lny = 35ln + -1ln(y) Multiply ln * y 2ln + lny = 35ln + -1lny Solving 2ln + lny = 35ln + -1lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-35ln' to each side of the equation. 2ln + -35ln + lny = 35ln + -35ln + -1lny Combine like terms: 2ln + -35ln = -33ln -33ln + lny = 35ln + -35ln + -1lny Combine like terms: 35ln + -35ln = 0 -33ln + lny = 0 + -1lny -33ln + lny = -1lny Add 'lny' to each side of the equation. -33ln + lny + lny = -1lny + lny Combine like terms: lny + lny = 2lny -33ln + 2lny = -1lny + lny Combine like terms: -1lny + lny = 0 -33ln + 2lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-33 + 2y) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-33 + 2y)' equal to zero and attempt to solve: Simplifying -33 + 2y = 0 Solving -33 + 2y = 0 Move all terms containing l to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 2y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 2y = 0 + 33 2y = 0 + 33 Combine like terms: 0 + 33 = 33 2y = 33 Add '-2y' to each side of the equation. 2y + -2y = 33 + -2y Combine like terms: 2y + -2y = 0 0 = 33 + -2y Simplifying 0 = 33 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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