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Simplifying 9(y + 2) + 5 = 6y + 11 Reorder the terms: 9(2 + y) + 5 = 6y + 11 (2 * 9 + y * 9) + 5 = 6y + 11 (18 + 9y) + 5 = 6y + 11 Reorder the terms: 18 + 5 + 9y = 6y + 11 Combine like terms: 18 + 5 = 23 23 + 9y = 6y + 11 Reorder the terms: 23 + 9y = 11 + 6y Solving 23 + 9y = 11 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 23 + 9y + -6y = 11 + 6y + -6y Combine like terms: 9y + -6y = 3y 23 + 3y = 11 + 6y + -6y Combine like terms: 6y + -6y = 0 23 + 3y = 11 + 0 23 + 3y = 11 Add '-23' to each side of the equation. 23 + -23 + 3y = 11 + -23 Combine like terms: 23 + -23 = 0 0 + 3y = 11 + -23 3y = 11 + -23 Combine like terms: 11 + -23 = -12 3y = -12 Divide each side by '3'. y = -4 Simplifying y = -4
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