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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 Remove parenthesis around (13y) 44 + -66y + 5 * 13y + 1 = 9 Multiply 5 * 13 44 + -66y + 65y + 1 = 9 Reorder the terms: 44 + 1 + -66y + 65y = 9 Combine like terms: 44 + 1 = 45 45 + -66y + 65y = 9 Combine like terms: -66y + 65y = -1y 45 + -1y = 9 Solving 45 + -1y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1y = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -1y = 9 + -45 -1y = 9 + -45 Combine like terms: 9 + -45 = -36 -1y = -36 Divide each side by '-1'. y = 36 Simplifying y = 36
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