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Simplifying 8(-8y + 11) = 9(-7y + 9) Reorder the terms: 8(11 + -8y) = 9(-7y + 9) (11 * 8 + -8y * 8) = 9(-7y + 9) (88 + -64y) = 9(-7y + 9) Reorder the terms: 88 + -64y = 9(9 + -7y) 88 + -64y = (9 * 9 + -7y * 9) 88 + -64y = (81 + -63y) Solving 88 + -64y = 81 + -63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '63y' to each side of the equation. 88 + -64y + 63y = 81 + -63y + 63y Combine like terms: -64y + 63y = -1y 88 + -1y = 81 + -63y + 63y Combine like terms: -63y + 63y = 0 88 + -1y = 81 + 0 88 + -1y = 81 Add '-88' to each side of the equation. 88 + -88 + -1y = 81 + -88 Combine like terms: 88 + -88 = 0 0 + -1y = 81 + -88 -1y = 81 + -88 Combine like terms: 81 + -88 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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