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