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Simplifying 5(10y + 7) + -1(9y + -6) = 0 Reorder the terms: 5(7 + 10y) + -1(9y + -6) = 0 (7 * 5 + 10y * 5) + -1(9y + -6) = 0 (35 + 50y) + -1(9y + -6) = 0 Reorder the terms: 35 + 50y + -1(-6 + 9y) = 0 35 + 50y + (-6 * -1 + 9y * -1) = 0 35 + 50y + (6 + -9y) = 0 Reorder the terms: 35 + 6 + 50y + -9y = 0 Combine like terms: 35 + 6 = 41 41 + 50y + -9y = 0 Combine like terms: 50y + -9y = 41y 41 + 41y = 0 Solving 41 + 41y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 41y = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 41y = 0 + -41 41y = 0 + -41 Combine like terms: 0 + -41 = -41 41y = -41 Divide each side by '41'. y = -1 Simplifying y = -1
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