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