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Simplifying 4(2y + d) = 2(12 + -1y) Reorder the terms: 4(d + 2y) = 2(12 + -1y) (d * 4 + 2y * 4) = 2(12 + -1y) (4d + 8y) = 2(12 + -1y) 4d + 8y = (12 * 2 + -1y * 2) 4d + 8y = (24 + -2y) Solving 4d + 8y = 24 + -2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8y' to each side of the equation. 4d + 8y + -8y = 24 + -2y + -8y Combine like terms: 8y + -8y = 0 4d + 0 = 24 + -2y + -8y 4d = 24 + -2y + -8y Combine like terms: -2y + -8y = -10y 4d = 24 + -10y Divide each side by '4'. d = 6 + -2.5y Simplifying d = 6 + -2.5y
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