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Simplifying 2(3y + 8) = 46 Reorder the terms: 2(8 + 3y) = 46 (8 * 2 + 3y * 2) = 46 (16 + 6y) = 46 Solving 16 + 6y = 46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6y = 46 + -16 Combine like terms: 16 + -16 = 0 0 + 6y = 46 + -16 6y = 46 + -16 Combine like terms: 46 + -16 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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