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Simplifying 2.5(y + 9) = 4y + 9 Reorder the terms: 2.5(9 + y) = 4y + 9 (9 * 2.5 + y * 2.5) = 4y + 9 (22.5 + 2.5y) = 4y + 9 Reorder the terms: 22.5 + 2.5y = 9 + 4y Solving 22.5 + 2.5y = 9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 22.5 + 2.5y + -4y = 9 + 4y + -4y Combine like terms: 2.5y + -4y = -1.5y 22.5 + -1.5y = 9 + 4y + -4y Combine like terms: 4y + -4y = 0 22.5 + -1.5y = 9 + 0 22.5 + -1.5y = 9 Add '-22.5' to each side of the equation. 22.5 + -22.5 + -1.5y = 9 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -1.5y = 9 + -22.5 -1.5y = 9 + -22.5 Combine like terms: 9 + -22.5 = -13.5 -1.5y = -13.5 Divide each side by '-1.5'. y = 9 Simplifying y = 9
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