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Simplifying 9(y + 9) + y = 3(y + 3) + 4 Reorder the terms: 9(9 + y) + y = 3(y + 3) + 4 (9 * 9 + y * 9) + y = 3(y + 3) + 4 (81 + 9y) + y = 3(y + 3) + 4 Combine like terms: 9y + y = 10y 81 + 10y = 3(y + 3) + 4 Reorder the terms: 81 + 10y = 3(3 + y) + 4 81 + 10y = (3 * 3 + y * 3) + 4 81 + 10y = (9 + 3y) + 4 Reorder the terms: 81 + 10y = 9 + 4 + 3y Combine like terms: 9 + 4 = 13 81 + 10y = 13 + 3y Solving 81 + 10y = 13 + 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 = 13 + 3y + -3y Combine like terms: 10y + -3y = 7y 81 + 7y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 81 + 7y = 13 + 0 81 + 7y = 13 Add '-81' to each side of the equation. 81 + -81 + 7y = 13 + -81 Combine like terms: 81 + -81 = 0 0 + 7y = 13 + -81 7y = 13 + -81 Combine like terms: 13 + -81 = -68 7y = -68 Divide each side by '7'. y = -9.714285714 Simplifying y = -9.714285714
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