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Simplifying 5(4.5 + 0.5y) + -2 = 18 (4.5 * 5 + 0.5y * 5) + -2 = 18 (22.5 + 2.5y) + -2 = 18 Reorder the terms: 22.5 + -2 + 2.5y = 18 Combine like terms: 22.5 + -2 = 20.5 20.5 + 2.5y = 18 Solving 20.5 + 2.5y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20.5' to each side of the equation. 20.5 + -20.5 + 2.5y = 18 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + 2.5y = 18 + -20.5 2.5y = 18 + -20.5 Combine like terms: 18 + -20.5 = -2.5 2.5y = -2.5 Divide each side by '2.5'. y = -1 Simplifying y = -1
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