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Simplifying 3(1.5y + 3) = 18 + -4.5y Reorder the terms: 3(3 + 1.5y) = 18 + -4.5y (3 * 3 + 1.5y * 3) = 18 + -4.5y (9 + 4.5y) = 18 + -4.5y Solving 9 + 4.5y = 18 + -4.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4.5y' to each side of the equation. 9 + 4.5y + 4.5y = 18 + -4.5y + 4.5y Combine like terms: 4.5y + 4.5y = 9y 9 + 9y = 18 + -4.5y + 4.5y Combine like terms: -4.5y + 4.5y = 0.0 9 + 9y = 18 + 0.0 9 + 9y = 18 Add '-9' to each side of the equation. 9 + -9 + 9y = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 9y = 18 + -9 9y = 18 + -9 Combine like terms: 18 + -9 = 9 9y = 9 Divide each side by '9'. y = 1 Simplifying y = 1
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