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Simplifying 9 = 11(4 + -6y) + 5(13y + 1) 9 = (4 * 11 + -6y * 11) + 5(13y + 1) 9 = (44 + -66y) + 5(13y + 1) Reorder the terms: 9 = 44 + -66y + 5(1 + 13y) 9 = 44 + -66y + (1 * 5 + 13y * 5) 9 = 44 + -66y + (5 + 65y) Reorder the terms: 9 = 44 + 5 + -66y + 65y Combine like terms: 44 + 5 = 49 9 = 49 + -66y + 65y Combine like terms: -66y + 65y = -1y 9 = 49 + -1y Solving 9 = 49 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 9 + y = 49 + -1y + y Combine like terms: -1y + y = 0 9 + y = 49 + 0 9 + y = 49 Add '-9' to each side of the equation. 9 + -9 + y = 49 + -9 Combine like terms: 9 + -9 = 0 0 + y = 49 + -9 y = 49 + -9 Combine like terms: 49 + -9 = 40 y = 40 Simplifying y = 40
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