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Simplifying y = 0.5(-12c + 6) + -3(c + 4) + 10(c + -5) Reorder the terms: y = 0.5(6 + -12c) + -3(c + 4) + 10(c + -5) y = (6 * 0.5 + -12c * 0.5) + -3(c + 4) + 10(c + -5) y = (3 + -6c) + -3(c + 4) + 10(c + -5) Reorder the terms: y = 3 + -6c + -3(4 + c) + 10(c + -5) y = 3 + -6c + (4 * -3 + c * -3) + 10(c + -5) y = 3 + -6c + (-12 + -3c) + 10(c + -5) Reorder the terms: y = 3 + -6c + -12 + -3c + 10(-5 + c) y = 3 + -6c + -12 + -3c + (-5 * 10 + c * 10) y = 3 + -6c + -12 + -3c + (-50 + 10c) Reorder the terms: y = 3 + -12 + -50 + -6c + -3c + 10c Combine like terms: 3 + -12 = -9 y = -9 + -50 + -6c + -3c + 10c Combine like terms: -9 + -50 = -59 y = -59 + -6c + -3c + 10c Combine like terms: -6c + -3c = -9c y = -59 + -9c + 10c Combine like terms: -9c + 10c = 1c y = -59 + 1c Solving y = -59 + 1c Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -59 + 1c
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