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Simplifying 18.5 + -8.5y = 9(2y + 5) Reorder the terms: 18.5 + -8.5y = 9(5 + 2y) 18.5 + -8.5y = (5 * 9 + 2y * 9) 18.5 + -8.5y = (45 + 18y) Solving 18.5 + -8.5y = 45 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 18.5 + -8.5y + -18y = 45 + 18y + -18y Combine like terms: -8.5y + -18y = -26.5y 18.5 + -26.5y = 45 + 18y + -18y Combine like terms: 18y + -18y = 0 18.5 + -26.5y = 45 + 0 18.5 + -26.5y = 45 Add '-18.5' to each side of the equation. 18.5 + -18.5 + -26.5y = 45 + -18.5 Combine like terms: 18.5 + -18.5 = 0.0 0.0 + -26.5y = 45 + -18.5 -26.5y = 45 + -18.5 Combine like terms: 45 + -18.5 = 26.5 -26.5y = 26.5 Divide each side by '-26.5'. y = -1 Simplifying y = -1
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