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Simplifying 9(y + 7) = 6 + 8y Reorder the terms: 9(7 + y) = 6 + 8y (7 * 9 + y * 9) = 6 + 8y (63 + 9y) = 6 + 8y Solving 63 + 9y = 6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 63 + 9y + -8y = 6 + 8y + -8y Combine like terms: 9y + -8y = 1y 63 + 1y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 63 + 1y = 6 + 0 63 + 1y = 6 Add '-63' to each side of the equation. 63 + -63 + 1y = 6 + -63 Combine like terms: 63 + -63 = 0 0 + 1y = 6 + -63 1y = 6 + -63 Combine like terms: 6 + -63 = -57 1y = -57 Divide each side by '1'. y = -57 Simplifying y = -57
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