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Simplifying 2(2y + 4) = 14 + -2y Reorder the terms: 2(4 + 2y) = 14 + -2y (4 * 2 + 2y * 2) = 14 + -2y (8 + 4y) = 14 + -2y Solving 8 + 4y = 14 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 8 + 4y + 2y = 14 + -2y + 2y Combine like terms: 4y + 2y = 6y 8 + 6y = 14 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + 6y = 14 + 0 8 + 6y = 14 Add '-8' to each side of the equation. 8 + -8 + 6y = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6y = 14 + -8 6y = 14 + -8 Combine like terms: 14 + -8 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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