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Simplifying (3 + y) * 8 = -4y Reorder the terms for easier multiplication: 8(3 + y) = -4y (3 * 8 + y * 8) = -4y (24 + 8y) = -4y Solving 24 + 8y = -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 24 + 8y + 4y = -4y + 4y Combine like terms: 8y + 4y = 12y 24 + 12y = -4y + 4y Combine like terms: -4y + 4y = 0 24 + 12y = 0 Add '-24' to each side of the equation. 24 + -24 + 12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12y = 0 + -24 12y = 0 + -24 Combine like terms: 0 + -24 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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