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Simplifying 10(5y + 2) + -6(y + -1) = 0 Reorder the terms: 10(2 + 5y) + -6(y + -1) = 0 (2 * 10 + 5y * 10) + -6(y + -1) = 0 (20 + 50y) + -6(y + -1) = 0 Reorder the terms: 20 + 50y + -6(-1 + y) = 0 20 + 50y + (-1 * -6 + y * -6) = 0 20 + 50y + (6 + -6y) = 0 Reorder the terms: 20 + 6 + 50y + -6y = 0 Combine like terms: 20 + 6 = 26 26 + 50y + -6y = 0 Combine like terms: 50y + -6y = 44y 26 + 44y = 0 Solving 26 + 44y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 44y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 44y = 0 + -26 44y = 0 + -26 Combine like terms: 0 + -26 = -26 44y = -26 Divide each side by '44'. y = -0.5909090909 Simplifying y = -0.5909090909
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