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Simplifying 405 = -9(4y + 3) Reorder the terms: 405 = -9(3 + 4y) 405 = (3 * -9 + 4y * -9) 405 = (-27 + -36y) Solving 405 = -27 + -36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36y' to each side of the equation. 405 + 36y = -27 + -36y + 36y Combine like terms: -36y + 36y = 0 405 + 36y = -27 + 0 405 + 36y = -27 Add '-405' to each side of the equation. 405 + -405 + 36y = -27 + -405 Combine like terms: 405 + -405 = 0 0 + 36y = -27 + -405 36y = -27 + -405 Combine like terms: -27 + -405 = -432 36y = -432 Divide each side by '36'. y = -12 Simplifying y = -12
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