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Simplifying 4(6y + 8) = -34 Reorder the terms: 4(8 + 6y) = -34 (8 * 4 + 6y * 4) = -34 (32 + 24y) = -34 Solving 32 + 24y = -34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 24y = -34 + -32 Combine like terms: 32 + -32 = 0 0 + 24y = -34 + -32 24y = -34 + -32 Combine like terms: -34 + -32 = -66 24y = -66 Divide each side by '24'. y = -2.75 Simplifying y = -2.75
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