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Simplifying 15y + -10 + k = (ky + -1) + -1y Reorder the terms: -10 + k + 15y = (ky + -1) + -1y Reorder the terms: -10 + k + 15y = (-1 + ky) + -1y Remove parenthesis around (-1 + ky) -10 + k + 15y = -1 + ky + -1y Solving -10 + k + 15y = -1 + ky + -1y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1ky' to each side of the equation. -10 + k + -1ky + 15y = -1 + ky + -1ky + -1y Combine like terms: ky + -1ky = 0 -10 + k + -1ky + 15y = -1 + 0 + -1y -10 + k + -1ky + 15y = -1 + -1y Add '10' to each side of the equation. -10 + k + -1ky + 10 + 15y = -1 + 10 + -1y Reorder the terms: -10 + 10 + k + -1ky + 15y = -1 + 10 + -1y Combine like terms: -10 + 10 = 0 0 + k + -1ky + 15y = -1 + 10 + -1y k + -1ky + 15y = -1 + 10 + -1y Combine like terms: -1 + 10 = 9 k + -1ky + 15y = 9 + -1y Add '-15y' to each side of the equation. k + -1ky + 15y + -15y = 9 + -1y + -15y Combine like terms: 15y + -15y = 0 k + -1ky + 0 = 9 + -1y + -15y k + -1ky = 9 + -1y + -15y Combine like terms: -1y + -15y = -16y k + -1ky = 9 + -16y Reorder the terms: -9 + k + -1ky + 16y = 9 + -16y + -9 + 16y Reorder the terms: -9 + k + -1ky + 16y = 9 + -9 + -16y + 16y Combine like terms: 9 + -9 = 0 -9 + k + -1ky + 16y = 0 + -16y + 16y -9 + k + -1ky + 16y = -16y + 16y Combine like terms: -16y + 16y = 0 -9 + k + -1ky + 16y = 0 The solution to this equation could not be determined.
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