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Simplifying 4(3y + 2) + 5(2y + 3) = 111 Reorder the terms: 4(2 + 3y) + 5(2y + 3) = 111 (2 * 4 + 3y * 4) + 5(2y + 3) = 111 (8 + 12y) + 5(2y + 3) = 111 Reorder the terms: 8 + 12y + 5(3 + 2y) = 111 8 + 12y + (3 * 5 + 2y * 5) = 111 8 + 12y + (15 + 10y) = 111 Reorder the terms: 8 + 15 + 12y + 10y = 111 Combine like terms: 8 + 15 = 23 23 + 12y + 10y = 111 Combine like terms: 12y + 10y = 22y 23 + 22y = 111 Solving 23 + 22y = 111 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 22y = 111 + -23 Combine like terms: 23 + -23 = 0 0 + 22y = 111 + -23 22y = 111 + -23 Combine like terms: 111 + -23 = 88 22y = 88 Divide each side by '22'. y = 4 Simplifying y = 4
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