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Simplifying 0.5(y + 12) = -2.5y + 12 Reorder the terms: 0.5(12 + y) = -2.5y + 12 (12 * 0.5 + y * 0.5) = -2.5y + 12 (6 + 0.5y) = -2.5y + 12 Reorder the terms: 6 + 0.5y = 12 + -2.5y Solving 6 + 0.5y = 12 + -2.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.5y' to each side of the equation. 6 + 0.5y + 2.5y = 12 + -2.5y + 2.5y Combine like terms: 0.5y + 2.5y = 3y 6 + 3y = 12 + -2.5y + 2.5y Combine like terms: -2.5y + 2.5y = 0.0 6 + 3y = 12 + 0.0 6 + 3y = 12 Add '-6' to each side of the equation. 6 + -6 + 3y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 12 + -6 3y = 12 + -6 Combine like terms: 12 + -6 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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