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Simplifying (y + -5)(y + -1) + -1y2 = -13 Reorder the terms: (-5 + y)(y + -1) + -1y2 = -13 Reorder the terms: (-5 + y)(-1 + y) + -1y2 = -13 Multiply (-5 + y) * (-1 + y) (-5(-1 + y) + y(-1 + y)) + -1y2 = -13 ((-1 * -5 + y * -5) + y(-1 + y)) + -1y2 = -13 ((5 + -5y) + y(-1 + y)) + -1y2 = -13 (5 + -5y + (-1 * y + y * y)) + -1y2 = -13 (5 + -5y + (-1y + y2)) + -1y2 = -13 Combine like terms: -5y + -1y = -6y (5 + -6y + y2) + -1y2 = -13 Combine like terms: y2 + -1y2 = 0 5 + -6y + 0 = -13 5 + -6y = -13 Solving 5 + -6y = -13 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6y = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = -13 + -5 -6y = -13 + -5 Combine like terms: -13 + -5 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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