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Simplifying 5(9y + 8) + -1(5y + -6) = 0 Reorder the terms: 5(8 + 9y) + -1(5y + -6) = 0 (8 * 5 + 9y * 5) + -1(5y + -6) = 0 (40 + 45y) + -1(5y + -6) = 0 Reorder the terms: 40 + 45y + -1(-6 + 5y) = 0 40 + 45y + (-6 * -1 + 5y * -1) = 0 40 + 45y + (6 + -5y) = 0 Reorder the terms: 40 + 6 + 45y + -5y = 0 Combine like terms: 40 + 6 = 46 46 + 45y + -5y = 0 Combine like terms: 45y + -5y = 40y 46 + 40y = 0 Solving 46 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 40y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 40y = 0 + -46 40y = 0 + -46 Combine like terms: 0 + -46 = -46 40y = -46 Divide each side by '40'. y = -1.15 Simplifying y = -1.15
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