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Simplifying 40 = -8(3y + 4) Reorder the terms: 40 = -8(4 + 3y) 40 = (4 * -8 + 3y * -8) 40 = (-32 + -24y) Solving 40 = -32 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 40 + 24y = -32 + -24y + 24y Combine like terms: -24y + 24y = 0 40 + 24y = -32 + 0 40 + 24y = -32 Add '-40' to each side of the equation. 40 + -40 + 24y = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 24y = -32 + -40 24y = -32 + -40 Combine like terms: -32 + -40 = -72 24y = -72 Divide each side by '24'. y = -3 Simplifying y = -3
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