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Simplifying 11(4 + -6y) + 5(13y + 2) = 9 (4 * 11 + -6y * 11) + 5(13y + 2) = 9 (44 + -66y) + 5(13y + 2) = 9 Reorder the terms: 44 + -66y + 5(2 + 13y) = 9 44 + -66y + (2 * 5 + 13y * 5) = 9 44 + -66y + (10 + 65y) = 9 Reorder the terms: 44 + 10 + -66y + 65y = 9 Combine like terms: 44 + 10 = 54 54 + -66y + 65y = 9 Combine like terms: -66y + 65y = -1y 54 + -1y = 9 Solving 54 + -1y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -1y = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -1y = 9 + -54 -1y = 9 + -54 Combine like terms: 9 + -54 = -45 -1y = -45 Divide each side by '-1'. y = 45 Simplifying y = 45
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