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Simplifying 4(3 + 7y) + 6(2 + -1y) = 68 (3 * 4 + 7y * 4) + 6(2 + -1y) = 68 (12 + 28y) + 6(2 + -1y) = 68 12 + 28y + (2 * 6 + -1y * 6) = 68 12 + 28y + (12 + -6y) = 68 Reorder the terms: 12 + 12 + 28y + -6y = 68 Combine like terms: 12 + 12 = 24 24 + 28y + -6y = 68 Combine like terms: 28y + -6y = 22y 24 + 22y = 68 Solving 24 + 22y = 68 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 22y = 68 + -24 Combine like terms: 24 + -24 = 0 0 + 22y = 68 + -24 22y = 68 + -24 Combine like terms: 68 + -24 = 44 22y = 44 Divide each side by '22'. y = 2 Simplifying y = 2
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