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Simplifying 2y + 3 = 0.5(12 + -8y) Reorder the terms: 3 + 2y = 0.5(12 + -8y) 3 + 2y = (12 * 0.5 + -8y * 0.5) 3 + 2y = (6 + -4y) Solving 3 + 2y = 6 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 3 + 2y + 4y = 6 + -4y + 4y Combine like terms: 2y + 4y = 6y 3 + 6y = 6 + -4y + 4y Combine like terms: -4y + 4y = 0 3 + 6y = 6 + 0 3 + 6y = 6 Add '-3' to each side of the equation. 3 + -3 + 6y = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 6y = 6 + -3 6y = 6 + -3 Combine like terms: 6 + -3 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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