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Simplifying 11(5 + -6y) + 5(13y + 1) = 9 (5 * 11 + -6y * 11) + 5(13y + 1) = 9 (55 + -66y) + 5(13y + 1) = 9 Reorder the terms: 55 + -66y + 5(1 + 13y) = 9 55 + -66y + (1 * 5 + 13y * 5) = 9 55 + -66y + (5 + 65y) = 9 Reorder the terms: 55 + 5 + -66y + 65y = 9 Combine like terms: 55 + 5 = 60 60 + -66y + 65y = 9 Combine like terms: -66y + 65y = -1y 60 + -1y = 9 Solving 60 + -1y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1y = 9 + -60 Combine like terms: 60 + -60 = 0 0 + -1y = 9 + -60 -1y = 9 + -60 Combine like terms: 9 + -60 = -51 -1y = -51 Divide each side by '-1'. y = 51 Simplifying y = 51
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