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Simplifying 8(6y + 12) = 84(8) Reorder the terms: 8(12 + 6y) = 84(8) (12 * 8 + 6y * 8) = 84(8) (96 + 48y) = 84(8) Multiply 84 * 8 96 + 48y = 672 Solving 96 + 48y = 672 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 48y = 672 + -96 Combine like terms: 96 + -96 = 0 0 + 48y = 672 + -96 48y = 672 + -96 Combine like terms: 672 + -96 = 576 48y = 576 Divide each side by '48'. y = 12 Simplifying y = 12
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