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Simplifying y + 4 + 6(y + 7) = 0 Reorder the terms: y + 4 + 6(7 + y) = 0 y + 4 + (7 * 6 + y * 6) = 0 y + 4 + (42 + 6y) = 0 Reorder the terms: 4 + 42 + y + 6y = 0 Combine like terms: 4 + 42 = 46 46 + y + 6y = 0 Combine like terms: y + 6y = 7y 46 + 7y = 0 Solving 46 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 7y = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 7y = 0 + -46 7y = 0 + -46 Combine like terms: 0 + -46 = -46 7y = -46 Divide each side by '7'. y = -6.571428571 Simplifying y = -6.571428571
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