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Simplifying 0.5(12y + 8) + 2y = 32 Reorder the terms: 0.5(8 + 12y) + 2y = 32 (8 * 0.5 + 12y * 0.5) + 2y = 32 (4 + 6y) + 2y = 32 Combine like terms: 6y + 2y = 8y 4 + 8y = 32 Solving 4 + 8y = 32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8y = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = 32 + -4 8y = 32 + -4 Combine like terms: 32 + -4 = 28 8y = 28 Divide each side by '8'. y = 3.5 Simplifying y = 3.5
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