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Simplifying 40(y + 2) = 5(7y + 8) Reorder the terms: 40(2 + y) = 5(7y + 8) (2 * 40 + y * 40) = 5(7y + 8) (80 + 40y) = 5(7y + 8) Reorder the terms: 80 + 40y = 5(8 + 7y) 80 + 40y = (8 * 5 + 7y * 5) 80 + 40y = (40 + 35y) Solving 80 + 40y = 40 + 35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35y' to each side of the equation. 80 + 40y + -35y = 40 + 35y + -35y Combine like terms: 40y + -35y = 5y 80 + 5y = 40 + 35y + -35y Combine like terms: 35y + -35y = 0 80 + 5y = 40 + 0 80 + 5y = 40 Add '-80' to each side of the equation. 80 + -80 + 5y = 40 + -80 Combine like terms: 80 + -80 = 0 0 + 5y = 40 + -80 5y = 40 + -80 Combine like terms: 40 + -80 = -40 5y = -40 Divide each side by '5'. y = -8 Simplifying y = -8
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