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Simplifying 6y + 27 = -1i + -8y Reorder the terms: 27 + 6y = -1i + -8y Solving 27 + 6y = -1i + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 27 + 6y + 8y = -1i + -8y + 8y Combine like terms: 6y + 8y = 14y 27 + 14y = -1i + -8y + 8y Combine like terms: -8y + 8y = 0 27 + 14y = -1i + 0 27 + 14y = -1i Add '-27' to each side of the equation. 27 + -27 + 14y = -27 + -1i Combine like terms: 27 + -27 = 0 0 + 14y = -27 + -1i 14y = -27 + -1i Divide each side by '14'. y = -1.928571429 + -0.07142857143i Simplifying y = -1.928571429 + -0.07142857143i
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