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Simplifying 11(4 + -6y) + 5(13y + -1) = 9 (4 * 11 + -6y * 11) + 5(13y + -1) = 9 (44 + -66y) + 5(13y + -1) = 9 Reorder the terms: 44 + -66y + 5(-1 + 13y) = 9 44 + -66y + (-1 * 5 + 13y * 5) = 9 44 + -66y + (-5 + 65y) = 9 Reorder the terms: 44 + -5 + -66y + 65y = 9 Combine like terms: 44 + -5 = 39 39 + -66y + 65y = 9 Combine like terms: -66y + 65y = -1y 39 + -1y = 9 Solving 39 + -1y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1y = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -1y = 9 + -39 -1y = 9 + -39 Combine like terms: 9 + -39 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30
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