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Simplifying -6(y + -5 + 9) + 7(2y + 9) = -1 Reorder the terms: -6(-5 + 9 + y) + 7(2y + 9) = -1 Combine like terms: -5 + 9 = 4 -6(4 + y) + 7(2y + 9) = -1 (4 * -6 + y * -6) + 7(2y + 9) = -1 (-24 + -6y) + 7(2y + 9) = -1 Reorder the terms: -24 + -6y + 7(9 + 2y) = -1 -24 + -6y + (9 * 7 + 2y * 7) = -1 -24 + -6y + (63 + 14y) = -1 Reorder the terms: -24 + 63 + -6y + 14y = -1 Combine like terms: -24 + 63 = 39 39 + -6y + 14y = -1 Combine like terms: -6y + 14y = 8y 39 + 8y = -1 Solving 39 + 8y = -1 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 + 8y = -1 + -39 Combine like terms: 39 + -39 = 0 0 + 8y = -1 + -39 8y = -1 + -39 Combine like terms: -1 + -39 = -40 8y = -40 Divide each side by '8'. y = -5 Simplifying y = -5
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