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Simplifying 5(10y + 8) + -4(7y + 9) = 0 Reorder the terms: 5(8 + 10y) + -4(7y + 9) = 0 (8 * 5 + 10y * 5) + -4(7y + 9) = 0 (40 + 50y) + -4(7y + 9) = 0 Reorder the terms: 40 + 50y + -4(9 + 7y) = 0 40 + 50y + (9 * -4 + 7y * -4) = 0 40 + 50y + (-36 + -28y) = 0 Reorder the terms: 40 + -36 + 50y + -28y = 0 Combine like terms: 40 + -36 = 4 4 + 50y + -28y = 0 Combine like terms: 50y + -28y = 22y 4 + 22y = 0 Solving 4 + 22y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 22y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 22y = 0 + -4 22y = 0 + -4 Combine like terms: 0 + -4 = -4 22y = -4 Divide each side by '22'. y = -0.1818181818 Simplifying y = -0.1818181818
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