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Simplifying 6(6y + 4) + 7 = 3(5y + 1) + -8 Reorder the terms: 6(4 + 6y) + 7 = 3(5y + 1) + -8 (4 * 6 + 6y * 6) + 7 = 3(5y + 1) + -8 (24 + 36y) + 7 = 3(5y + 1) + -8 Reorder the terms: 24 + 7 + 36y = 3(5y + 1) + -8 Combine like terms: 24 + 7 = 31 31 + 36y = 3(5y + 1) + -8 Reorder the terms: 31 + 36y = 3(1 + 5y) + -8 31 + 36y = (1 * 3 + 5y * 3) + -8 31 + 36y = (3 + 15y) + -8 Reorder the terms: 31 + 36y = 3 + -8 + 15y Combine like terms: 3 + -8 = -5 31 + 36y = -5 + 15y Solving 31 + 36y = -5 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 31 + 36y + -15y = -5 + 15y + -15y Combine like terms: 36y + -15y = 21y 31 + 21y = -5 + 15y + -15y Combine like terms: 15y + -15y = 0 31 + 21y = -5 + 0 31 + 21y = -5 Add '-31' to each side of the equation. 31 + -31 + 21y = -5 + -31 Combine like terms: 31 + -31 = 0 0 + 21y = -5 + -31 21y = -5 + -31 Combine like terms: -5 + -31 = -36 21y = -36 Divide each side by '21'. y = -1.714285714 Simplifying y = -1.714285714
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