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Simplifying 6 + -5(8y + -5) = -1(1 + 8y) Reorder the terms: 6 + -5(-5 + 8y) = -1(1 + 8y) 6 + (-5 * -5 + 8y * -5) = -1(1 + 8y) 6 + (25 + -40y) = -1(1 + 8y) Combine like terms: 6 + 25 = 31 31 + -40y = -1(1 + 8y) 31 + -40y = (1 * -1 + 8y * -1) 31 + -40y = (-1 + -8y) Solving 31 + -40y = -1 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 31 + -40y + 8y = -1 + -8y + 8y Combine like terms: -40y + 8y = -32y 31 + -32y = -1 + -8y + 8y Combine like terms: -8y + 8y = 0 31 + -32y = -1 + 0 31 + -32y = -1 Add '-31' to each side of the equation. 31 + -31 + -32y = -1 + -31 Combine like terms: 31 + -31 = 0 0 + -32y = -1 + -31 -32y = -1 + -31 Combine like terms: -1 + -31 = -32 -32y = -32 Divide each side by '-32'. y = 1 Simplifying y = 1
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