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Simplifying 8 + -1(3y + -1) = 1 + -4y Reorder the terms: 8 + -1(-1 + 3y) = 1 + -4y 8 + (-1 * -1 + 3y * -1) = 1 + -4y 8 + (1 + -3y) = 1 + -4y Combine like terms: 8 + 1 = 9 9 + -3y = 1 + -4y Solving 9 + -3y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 9 + -3y + 4y = 1 + -4y + 4y Combine like terms: -3y + 4y = 1y 9 + 1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 9 + 1y = 1 + 0 9 + 1y = 1 Add '-9' to each side of the equation. 9 + -9 + 1y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 1 + -9 1y = 1 + -9 Combine like terms: 1 + -9 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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