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Simplifying 4(5 + -1y) + 6y = 102 (5 * 4 + -1y * 4) + 6y = 102 (20 + -4y) + 6y = 102 Combine like terms: -4y + 6y = 2y 20 + 2y = 102 Solving 20 + 2y = 102 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2y = 102 + -20 Combine like terms: 20 + -20 = 0 0 + 2y = 102 + -20 2y = 102 + -20 Combine like terms: 102 + -20 = 82 2y = 82 Divide each side by '2'. y = 41 Simplifying y = 41
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