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Simplifying -5(y + 1) + -1(-4y + -8) = 1 Reorder the terms: -5(1 + y) + -1(-4y + -8) = 1 (1 * -5 + y * -5) + -1(-4y + -8) = 1 (-5 + -5y) + -1(-4y + -8) = 1 Reorder the terms: -5 + -5y + -1(-8 + -4y) = 1 -5 + -5y + (-8 * -1 + -4y * -1) = 1 -5 + -5y + (8 + 4y) = 1 Reorder the terms: -5 + 8 + -5y + 4y = 1 Combine like terms: -5 + 8 = 3 3 + -5y + 4y = 1 Combine like terms: -5y + 4y = -1y 3 + -1y = 1 Solving 3 + -1y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 1 + -3 -1y = 1 + -3 Combine like terms: 1 + -3 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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