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Simplifying -1(5y + 2) + -1(-4y + -5) = -5 Reorder the terms: -1(2 + 5y) + -1(-4y + -5) = -5 (2 * -1 + 5y * -1) + -1(-4y + -5) = -5 (-2 + -5y) + -1(-4y + -5) = -5 Reorder the terms: -2 + -5y + -1(-5 + -4y) = -5 -2 + -5y + (-5 * -1 + -4y * -1) = -5 -2 + -5y + (5 + 4y) = -5 Reorder the terms: -2 + 5 + -5y + 4y = -5 Combine like terms: -2 + 5 = 3 3 + -5y + 4y = -5 Combine like terms: -5y + 4y = -1y 3 + -1y = -5 Solving 3 + -1y = -5 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 = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = -5 + -3 -1y = -5 + -3 Combine like terms: -5 + -3 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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