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Simplifying 3y + logx = 2log(4y + -1) Reorder the terms: glox + 3y = 2log(4y + -1) Reorder the terms: glox + 3y = 2glo(-1 + 4y) glox + 3y = (-1 * 2glo + 4y * 2glo) glox + 3y = (-2glo + 8gloy) Solving glox + 3y = -2glo + 8gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. glox + 2glo + 3y = -2glo + 2glo + 8gloy Reorder the terms: 2glo + glox + 3y = -2glo + 2glo + 8gloy Combine like terms: -2glo + 2glo = 0 2glo + glox + 3y = 0 + 8gloy 2glo + glox + 3y = 8gloy Add '-8gloy' to each side of the equation. 2glo + glox + -8gloy + 3y = 8gloy + -8gloy Combine like terms: 8gloy + -8gloy = 0 2glo + glox + -8gloy + 3y = 0 Add '-3y' to each side of the equation. 2glo + glox + -8gloy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2glo + glox + -8gloy + 0 = 0 + -3y 2glo + glox + -8gloy = 0 + -3y Remove the zero: 2glo + glox + -8gloy = -3y Combine like terms: -3y + 3y = 0 2glo + glox + -8gloy + 3y = 0 The solution to this equation could not be determined.
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