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Simplifying ln + -1y = ln(5y + -8) Reorder the terms: ln + -1y = ln(-8 + 5y) ln + -1y = (-8 * ln + 5y * ln) ln + -1y = (-8ln + 5lny) Solving ln + -1y = -8ln + 5lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8ln' to each side of the equation. ln + 8ln + -1y = -8ln + 8ln + 5lny Combine like terms: ln + 8ln = 9ln 9ln + -1y = -8ln + 8ln + 5lny Combine like terms: -8ln + 8ln = 0 9ln + -1y = 0 + 5lny 9ln + -1y = 5lny Add '-5lny' to each side of the equation. 9ln + -5lny + -1y = 5lny + -5lny Combine like terms: 5lny + -5lny = 0 9ln + -5lny + -1y = 0 Add 'y' to each side of the equation. 9ln + -5lny + -1y + y = 0 + y Combine like terms: -1y + y = 0 9ln + -5lny + 0 = 0 + y 9ln + -5lny = 0 + y Remove the zero: 9ln + -5lny = y Combine like terms: y + -1y = 0 9ln + -5lny + -1y = 0 The solution to this equation could not be determined.
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