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Simplifying 8(y + 10) + 2(3y + 5) = 0 Reorder the terms: 8(10 + y) + 2(3y + 5) = 0 (10 * 8 + y * 8) + 2(3y + 5) = 0 (80 + 8y) + 2(3y + 5) = 0 Reorder the terms: 80 + 8y + 2(5 + 3y) = 0 80 + 8y + (5 * 2 + 3y * 2) = 0 80 + 8y + (10 + 6y) = 0 Reorder the terms: 80 + 10 + 8y + 6y = 0 Combine like terms: 80 + 10 = 90 90 + 8y + 6y = 0 Combine like terms: 8y + 6y = 14y 90 + 14y = 0 Solving 90 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 14y = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 14y = 0 + -90 14y = 0 + -90 Combine like terms: 0 + -90 = -90 14y = -90 Divide each side by '14'. y = -6.428571429 Simplifying y = -6.428571429
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