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Simplifying 8(5 + y) = 5(5 + -1y) (5 * 8 + y * 8) = 5(5 + -1y) (40 + 8y) = 5(5 + -1y) 40 + 8y = (5 * 5 + -1y * 5) 40 + 8y = (25 + -5y) Solving 40 + 8y = 25 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 40 + 8y + 5y = 25 + -5y + 5y Combine like terms: 8y + 5y = 13y 40 + 13y = 25 + -5y + 5y Combine like terms: -5y + 5y = 0 40 + 13y = 25 + 0 40 + 13y = 25 Add '-40' to each side of the equation. 40 + -40 + 13y = 25 + -40 Combine like terms: 40 + -40 = 0 0 + 13y = 25 + -40 13y = 25 + -40 Combine like terms: 25 + -40 = -15 13y = -15 Divide each side by '13'. y = -1.153846154 Simplifying y = -1.153846154
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