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Simplifying 3(18 + -0.5y) + 4z = 2(18 + -0.5y) + 4(18 + -0.5y) (18 * 3 + -0.5y * 3) + 4z = 2(18 + -0.5y) + 4(18 + -0.5y) (54 + -1.5y) + 4z = 2(18 + -0.5y) + 4(18 + -0.5y) 54 + -1.5y + 4z = (18 * 2 + -0.5y * 2) + 4(18 + -0.5y) 54 + -1.5y + 4z = (36 + -1y) + 4(18 + -0.5y) 54 + -1.5y + 4z = 36 + -1y + (18 * 4 + -0.5y * 4) 54 + -1.5y + 4z = 36 + -1y + (72 + -2y) Reorder the terms: 54 + -1.5y + 4z = 36 + 72 + -1y + -2y Combine like terms: 36 + 72 = 108 54 + -1.5y + 4z = 108 + -1y + -2y Combine like terms: -1y + -2y = -3y 54 + -1.5y + 4z = 108 + -3y Solving 54 + -1.5y + 4z = 108 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 54 + -1.5y + 3y + 4z = 108 + -3y + 3y Combine like terms: -1.5y + 3y = 1.5y 54 + 1.5y + 4z = 108 + -3y + 3y Combine like terms: -3y + 3y = 0 54 + 1.5y + 4z = 108 + 0 54 + 1.5y + 4z = 108 Add '-54' to each side of the equation. 54 + 1.5y + -54 + 4z = 108 + -54 Reorder the terms: 54 + -54 + 1.5y + 4z = 108 + -54 Combine like terms: 54 + -54 = 0 0 + 1.5y + 4z = 108 + -54 1.5y + 4z = 108 + -54 Combine like terms: 108 + -54 = 54 1.5y + 4z = 54 Add '-4z' to each side of the equation. 1.5y + 4z + -4z = 54 + -4z Combine like terms: 4z + -4z = 0 1.5y + 0 = 54 + -4z 1.5y = 54 + -4z Divide each side by '1.5'. y = 36 + -2.666666667z Simplifying y = 36 + -2.666666667z
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