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Simplifying 9(y + 9) = 6 + 8y Reorder the terms: 9(9 + y) = 6 + 8y (9 * 9 + y * 9) = 6 + 8y (81 + 9y) = 6 + 8y Solving 81 + 9y = 6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 81 + 9y + -8y = 6 + 8y + -8y Combine like terms: 9y + -8y = 1y 81 + 1y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 81 + 1y = 6 + 0 81 + 1y = 6 Add '-81' to each side of the equation. 81 + -81 + 1y = 6 + -81 Combine like terms: 81 + -81 = 0 0 + 1y = 6 + -81 1y = 6 + -81 Combine like terms: 6 + -81 = -75 1y = -75 Divide each side by '1'. y = -75 Simplifying y = -75
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