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Simplifying 6(2y + 1) + 24 = 5(5y + 4) + -2 Reorder the terms: 6(1 + 2y) + 24 = 5(5y + 4) + -2 (1 * 6 + 2y * 6) + 24 = 5(5y + 4) + -2 (6 + 12y) + 24 = 5(5y + 4) + -2 Reorder the terms: 6 + 24 + 12y = 5(5y + 4) + -2 Combine like terms: 6 + 24 = 30 30 + 12y = 5(5y + 4) + -2 Reorder the terms: 30 + 12y = 5(4 + 5y) + -2 30 + 12y = (4 * 5 + 5y * 5) + -2 30 + 12y = (20 + 25y) + -2 Reorder the terms: 30 + 12y = 20 + -2 + 25y Combine like terms: 20 + -2 = 18 30 + 12y = 18 + 25y Solving 30 + 12y = 18 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. 30 + 12y + -25y = 18 + 25y + -25y Combine like terms: 12y + -25y = -13y 30 + -13y = 18 + 25y + -25y Combine like terms: 25y + -25y = 0 30 + -13y = 18 + 0 30 + -13y = 18 Add '-30' to each side of the equation. 30 + -30 + -13y = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -13y = 18 + -30 -13y = 18 + -30 Combine like terms: 18 + -30 = -12 -13y = -12 Divide each side by '-13'. y = 0.9230769231 Simplifying y = 0.9230769231
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