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Simplifying 9(y + 9) + y = 3(y + 2) + 4 Reorder the terms: 9(9 + y) + y = 3(y + 2) + 4 (9 * 9 + y * 9) + y = 3(y + 2) + 4 (81 + 9y) + y = 3(y + 2) + 4 Combine like terms: 9y + y = 10y 81 + 10y = 3(y + 2) + 4 Reorder the terms: 81 + 10y = 3(2 + y) + 4 81 + 10y = (2 * 3 + y * 3) + 4 81 + 10y = (6 + 3y) + 4 Reorder the terms: 81 + 10y = 6 + 4 + 3y Combine like terms: 6 + 4 = 10 81 + 10y = 10 + 3y Solving 81 + 10y = 10 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 81 + 10y + -3y = 10 + 3y + -3y Combine like terms: 10y + -3y = 7y 81 + 7y = 10 + 3y + -3y Combine like terms: 3y + -3y = 0 81 + 7y = 10 + 0 81 + 7y = 10 Add '-81' to each side of the equation. 81 + -81 + 7y = 10 + -81 Combine like terms: 81 + -81 = 0 0 + 7y = 10 + -81 7y = 10 + -81 Combine like terms: 10 + -81 = -71 7y = -71 Divide each side by '7'. y = -10.14285714 Simplifying y = -10.14285714
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