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Simplifying 8(5 + 5y) + -2y(6 + 4) = 0 (5 * 8 + 5y * 8) + -2y(6 + 4) = 0 (40 + 40y) + -2y(6 + 4) = 0 Combine like terms: 6 + 4 = 10 40 + 40y + -2y(10) = 0 Reorder the terms for easier multiplication: 40 + 40y + -2 * 10y = 0 Multiply -2 * 10 40 + 40y + -20y = 0 Combine like terms: 40y + -20y = 20y 40 + 20y = 0 Solving 40 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 20y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 20y = 0 + -40 20y = 0 + -40 Combine like terms: 0 + -40 = -40 20y = -40 Divide each side by '20'. y = -2 Simplifying y = -2
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