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Simplifying 3(2y + 4) = 4(y + 7) Reorder the terms: 3(4 + 2y) = 4(y + 7) (4 * 3 + 2y * 3) = 4(y + 7) (12 + 6y) = 4(y + 7) Reorder the terms: 12 + 6y = 4(7 + y) 12 + 6y = (7 * 4 + y * 4) 12 + 6y = (28 + 4y) Solving 12 + 6y = 28 + 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. 12 + 6y + -4y = 28 + 4y + -4y Combine like terms: 6y + -4y = 2y 12 + 2y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + 2y = 28 + 0 12 + 2y = 28 Add '-12' to each side of the equation. 12 + -12 + 2y = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 28 + -12 2y = 28 + -12 Combine like terms: 28 + -12 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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