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Simplifying log(y + -1) = log(18 + -1y) Reorder the terms: glo(-1 + y) = log(18 + -1y) (-1 * glo + y * glo) = log(18 + -1y) (-1glo + gloy) = log(18 + -1y) -1glo + gloy = (18 * glo + -1y * glo) -1glo + gloy = (18glo + -1gloy) Solving -1glo + gloy = 18glo + -1gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glo' to each side of the equation. -1glo + -18glo + gloy = 18glo + -18glo + -1gloy Combine like terms: -1glo + -18glo = -19glo -19glo + gloy = 18glo + -18glo + -1gloy Combine like terms: 18glo + -18glo = 0 -19glo + gloy = 0 + -1gloy -19glo + gloy = -1gloy Add 'gloy' to each side of the equation. -19glo + gloy + gloy = -1gloy + gloy Combine like terms: gloy + gloy = 2gloy -19glo + 2gloy = -1gloy + gloy Combine like terms: -1gloy + gloy = 0 -19glo + 2gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-19 + 2y) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-19 + 2y)' equal to zero and attempt to solve: Simplifying -19 + 2y = 0 Solving -19 + 2y = 0 Move all terms containing g to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 2y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 2y = 0 + 19 2y = 0 + 19 Combine like terms: 0 + 19 = 19 2y = 19 Add '-2y' to each side of the equation. 2y + -2y = 19 + -2y Combine like terms: 2y + -2y = 0 0 = 19 + -2y Simplifying 0 = 19 + -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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