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Simplifying 4(6y + 1) + 8 = 6(2y + 5) + -5 Reorder the terms: 4(1 + 6y) + 8 = 6(2y + 5) + -5 (1 * 4 + 6y * 4) + 8 = 6(2y + 5) + -5 (4 + 24y) + 8 = 6(2y + 5) + -5 Reorder the terms: 4 + 8 + 24y = 6(2y + 5) + -5 Combine like terms: 4 + 8 = 12 12 + 24y = 6(2y + 5) + -5 Reorder the terms: 12 + 24y = 6(5 + 2y) + -5 12 + 24y = (5 * 6 + 2y * 6) + -5 12 + 24y = (30 + 12y) + -5 Reorder the terms: 12 + 24y = 30 + -5 + 12y Combine like terms: 30 + -5 = 25 12 + 24y = 25 + 12y Solving 12 + 24y = 25 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 12 + 24y + -12y = 25 + 12y + -12y Combine like terms: 24y + -12y = 12y 12 + 12y = 25 + 12y + -12y Combine like terms: 12y + -12y = 0 12 + 12y = 25 + 0 12 + 12y = 25 Add '-12' to each side of the equation. 12 + -12 + 12y = 25 + -12 Combine like terms: 12 + -12 = 0 0 + 12y = 25 + -12 12y = 25 + -12 Combine like terms: 25 + -12 = 13 12y = 13 Divide each side by '12'. y = 1.083333333 Simplifying y = 1.083333333
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