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Simplifying 6(y + 2000) + 8(y + -1000) = 460 Reorder the terms: 6(2000 + y) + 8(y + -1000) = 460 (2000 * 6 + y * 6) + 8(y + -1000) = 460 (12000 + 6y) + 8(y + -1000) = 460 Reorder the terms: 12000 + 6y + 8(-1000 + y) = 460 12000 + 6y + (-1000 * 8 + y * 8) = 460 12000 + 6y + (-8000 + 8y) = 460 Reorder the terms: 12000 + -8000 + 6y + 8y = 460 Combine like terms: 12000 + -8000 = 4000 4000 + 6y + 8y = 460 Combine like terms: 6y + 8y = 14y 4000 + 14y = 460 Solving 4000 + 14y = 460 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4000' to each side of the equation. 4000 + -4000 + 14y = 460 + -4000 Combine like terms: 4000 + -4000 = 0 0 + 14y = 460 + -4000 14y = 460 + -4000 Combine like terms: 460 + -4000 = -3540 14y = -3540 Divide each side by '14'. y = -252.8571429 Simplifying y = -252.8571429
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