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Simplifying 0.5(4d + -2) = 2y + 16 Reorder the terms: 0.5(-2 + 4d) = 2y + 16 (-2 * 0.5 + 4d * 0.5) = 2y + 16 (-1 + 2d) = 2y + 16 Reorder the terms: -1 + 2d = 16 + 2y Solving -1 + 2d = 16 + 2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2d = 16 + 1 + 2y Combine like terms: -1 + 1 = 0 0 + 2d = 16 + 1 + 2y 2d = 16 + 1 + 2y Combine like terms: 16 + 1 = 17 2d = 17 + 2y Divide each side by '2'. d = 8.5 + y Simplifying d = 8.5 + y
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