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Simplifying 8(3y + 1) = 2(8 + 3y) Reorder the terms: 8(1 + 3y) = 2(8 + 3y) (1 * 8 + 3y * 8) = 2(8 + 3y) (8 + 24y) = 2(8 + 3y) 8 + 24y = (8 * 2 + 3y * 2) 8 + 24y = (16 + 6y) Solving 8 + 24y = 16 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + 24y + -6y = 16 + 6y + -6y Combine like terms: 24y + -6y = 18y 8 + 18y = 16 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + 18y = 16 + 0 8 + 18y = 16 Add '-8' to each side of the equation. 8 + -8 + 18y = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 18y = 16 + -8 18y = 16 + -8 Combine like terms: 16 + -8 = 8 18y = 8 Divide each side by '18'. y = 0.4444444444 Simplifying y = 0.4444444444
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