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Simplifying 4(3y + 5) + 2(6y + 1) = 94 Reorder the terms: 4(5 + 3y) + 2(6y + 1) = 94 (5 * 4 + 3y * 4) + 2(6y + 1) = 94 (20 + 12y) + 2(6y + 1) = 94 Reorder the terms: 20 + 12y + 2(1 + 6y) = 94 20 + 12y + (1 * 2 + 6y * 2) = 94 20 + 12y + (2 + 12y) = 94 Reorder the terms: 20 + 2 + 12y + 12y = 94 Combine like terms: 20 + 2 = 22 22 + 12y + 12y = 94 Combine like terms: 12y + 12y = 24y 22 + 24y = 94 Solving 22 + 24y = 94 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 24y = 94 + -22 Combine like terms: 22 + -22 = 0 0 + 24y = 94 + -22 24y = 94 + -22 Combine like terms: 94 + -22 = 72 24y = 72 Divide each side by '24'. y = 3 Simplifying y = 3
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