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Simplifying 2(y + 6) = 102 Reorder the terms: 2(6 + y) = 102 (6 * 2 + y * 2) = 102 (12 + 2y) = 102 Solving 12 + 2y = 102 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2y = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 102 + -12 2y = 102 + -12 Combine like terms: 102 + -12 = 90 2y = 90 Divide each side by '2'. y = 45 Simplifying y = 45
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