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Simplifying 3(2y + 4) = 4(y + 17) Reorder the terms: 3(4 + 2y) = 4(y + 17) (4 * 3 + 2y * 3) = 4(y + 17) (12 + 6y) = 4(y + 17) Reorder the terms: 12 + 6y = 4(17 + y) 12 + 6y = (17 * 4 + y * 4) 12 + 6y = (68 + 4y) Solving 12 + 6y = 68 + 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 = 68 + 4y + -4y Combine like terms: 6y + -4y = 2y 12 + 2y = 68 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + 2y = 68 + 0 12 + 2y = 68 Add '-12' to each side of the equation. 12 + -12 + 2y = 68 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 68 + -12 2y = 68 + -12 Combine like terms: 68 + -12 = 56 2y = 56 Divide each side by '2'. y = 28 Simplifying y = 28
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