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Simplifying 1.5(5 + -1y) = 3y + 12 (5 * 1.5 + -1y * 1.5) = 3y + 12 (7.5 + -1.5y) = 3y + 12 Reorder the terms: 7.5 + -1.5y = 12 + 3y Solving 7.5 + -1.5y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 7.5 + -1.5y + -3y = 12 + 3y + -3y Combine like terms: -1.5y + -3y = -4.5y 7.5 + -4.5y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 7.5 + -4.5y = 12 + 0 7.5 + -4.5y = 12 Add '-7.5' to each side of the equation. 7.5 + -7.5 + -4.5y = 12 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -4.5y = 12 + -7.5 -4.5y = 12 + -7.5 Combine like terms: 12 + -7.5 = 4.5 -4.5y = 4.5 Divide each side by '-4.5'. y = -1 Simplifying y = -1
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