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Simplifying 3(8y + -2) = 3(4 + 2y) Reorder the terms: 3(-2 + 8y) = 3(4 + 2y) (-2 * 3 + 8y * 3) = 3(4 + 2y) (-6 + 24y) = 3(4 + 2y) -6 + 24y = (4 * 3 + 2y * 3) -6 + 24y = (12 + 6y) Solving -6 + 24y = 12 + 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. -6 + 24y + -6y = 12 + 6y + -6y Combine like terms: 24y + -6y = 18y -6 + 18y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 18y = 12 + 0 -6 + 18y = 12 Add '6' to each side of the equation. -6 + 6 + 18y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18y = 12 + 6 18y = 12 + 6 Combine like terms: 12 + 6 = 18 18y = 18 Divide each side by '18'. y = 1 Simplifying y = 1
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