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Simplifying log(5y + 2) + -1 = log(1 + -2y) Reorder the terms: glo(2 + 5y) + -1 = log(1 + -2y) (2 * glo + 5y * glo) + -1 = log(1 + -2y) (2glo + 5gloy) + -1 = log(1 + -2y) Reorder the terms: -1 + 2glo + 5gloy = log(1 + -2y) -1 + 2glo + 5gloy = (1 * glo + -2y * glo) -1 + 2glo + 5gloy = (1glo + -2gloy) Solving -1 + 2glo + 5gloy = 1glo + -2gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glo' to each side of the equation. -1 + 2glo + -1glo + 5gloy = 1glo + -1glo + -2gloy Combine like terms: 2glo + -1glo = 1glo -1 + 1glo + 5gloy = 1glo + -1glo + -2gloy Combine like terms: 1glo + -1glo = 0 -1 + 1glo + 5gloy = 0 + -2gloy -1 + 1glo + 5gloy = -2gloy Add '2gloy' to each side of the equation. -1 + 1glo + 5gloy + 2gloy = -2gloy + 2gloy Combine like terms: 5gloy + 2gloy = 7gloy -1 + 1glo + 7gloy = -2gloy + 2gloy Combine like terms: -2gloy + 2gloy = 0 -1 + 1glo + 7gloy = 0 Add '1' to each side of the equation. -1 + 1glo + 1 + 7gloy = 0 + 1 Reorder the terms: -1 + 1 + 1glo + 7gloy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1glo + 7gloy = 0 + 1 1glo + 7gloy = 0 + 1 Combine like terms: 0 + 1 = 1 1glo + 7gloy = 1 Reorder the terms: -1 + 1glo + 7gloy = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 1glo + 7gloy = 0 The solution to this equation could not be determined.
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