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Simplifying 15y + -10 + k = 2(ky + -1) + -1y Reorder the terms: -10 + k + 15y = 2(ky + -1) + -1y Reorder the terms: -10 + k + 15y = 2(-1 + ky) + -1y -10 + k + 15y = (-1 * 2 + ky * 2) + -1y -10 + k + 15y = (-2 + 2ky) + -1y Solving -10 + k + 15y = -2 + 2ky + -1y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2ky' to each side of the equation. -10 + k + -2ky + 15y = -2 + 2ky + -2ky + -1y Combine like terms: 2ky + -2ky = 0 -10 + k + -2ky + 15y = -2 + 0 + -1y -10 + k + -2ky + 15y = -2 + -1y Add '10' to each side of the equation. -10 + k + -2ky + 10 + 15y = -2 + 10 + -1y Reorder the terms: -10 + 10 + k + -2ky + 15y = -2 + 10 + -1y Combine like terms: -10 + 10 = 0 0 + k + -2ky + 15y = -2 + 10 + -1y k + -2ky + 15y = -2 + 10 + -1y Combine like terms: -2 + 10 = 8 k + -2ky + 15y = 8 + -1y Add '-15y' to each side of the equation. k + -2ky + 15y + -15y = 8 + -1y + -15y Combine like terms: 15y + -15y = 0 k + -2ky + 0 = 8 + -1y + -15y k + -2ky = 8 + -1y + -15y Combine like terms: -1y + -15y = -16y k + -2ky = 8 + -16y Reorder the terms: -8 + k + -2ky + 16y = 8 + -16y + -8 + 16y Reorder the terms: -8 + k + -2ky + 16y = 8 + -8 + -16y + 16y Combine like terms: 8 + -8 = 0 -8 + k + -2ky + 16y = 0 + -16y + 16y -8 + k + -2ky + 16y = -16y + 16y Combine like terms: -16y + 16y = 0 -8 + k + -2ky + 16y = 0 The solution to this equation could not be determined.
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