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Simplifying 2(3y + 4) = 4y + 12 Reorder the terms: 2(4 + 3y) = 4y + 12 (4 * 2 + 3y * 2) = 4y + 12 (8 + 6y) = 4y + 12 Reorder the terms: 8 + 6y = 12 + 4y Solving 8 + 6y = 12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 6y + -4y = 12 + 4y + -4y Combine like terms: 6y + -4y = 2y 8 + 2y = 12 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 2y = 12 + 0 8 + 2y = 12 Add '-8' to each side of the equation. 8 + -8 + 2y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 12 + -8 2y = 12 + -8 Combine like terms: 12 + -8 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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