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Simplifying Y2 + -1y + 7 = (y + -1)(y + -5) Reorder the terms: 7 + Y2 + -1y = (y + -1)(y + -5) Reorder the terms: 7 + Y2 + -1y = (-1 + y)(y + -5) Reorder the terms: 7 + Y2 + -1y = (-1 + y)(-5 + y) Multiply (-1 + y) * (-5 + y) 7 + Y2 + -1y = (-1(-5 + y) + y(-5 + y)) 7 + Y2 + -1y = ((-5 * -1 + y * -1) + y(-5 + y)) 7 + Y2 + -1y = ((5 + -1y) + y(-5 + y)) 7 + Y2 + -1y = (5 + -1y + (-5 * y + y * y)) 7 + Y2 + -1y = (5 + -1y + (-5y + y2)) Combine like terms: -1y + -5y = -6y 7 + Y2 + -1y = (5 + -6y + y2) Solving 7 + Y2 + -1y = 5 + -6y + y2 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + Y2 + -7 + -1y = 5 + -6y + -7 + y2 Reorder the terms: 7 + -7 + Y2 + -1y = 5 + -6y + -7 + y2 Combine like terms: 7 + -7 = 0 0 + Y2 + -1y = 5 + -6y + -7 + y2 Y2 + -1y = 5 + -6y + -7 + y2 Reorder the terms: Y2 + -1y = 5 + -7 + -6y + y2 Combine like terms: 5 + -7 = -2 Y2 + -1y = -2 + -6y + y2 Add 'y' to each side of the equation. Y2 + -1y + y = -2 + -6y + y + y2 Combine like terms: -1y + y = 0 Y2 + 0 = -2 + -6y + y + y2 Y2 = -2 + -6y + y + y2 Combine like terms: -6y + y = -5y Y2 = -2 + -5y + y2 Simplifying Y2 = -2 + -5y + y2 Reorder the terms: 2 + Y2 + 5y + -1y2 = -2 + -5y + y2 + 2 + 5y + -1y2 Reorder the terms: 2 + Y2 + 5y + -1y2 = -2 + 2 + -5y + 5y + y2 + -1y2 Combine like terms: -2 + 2 = 0 2 + Y2 + 5y + -1y2 = 0 + -5y + 5y + y2 + -1y2 2 + Y2 + 5y + -1y2 = -5y + 5y + y2 + -1y2 Combine like terms: -5y + 5y = 0 2 + Y2 + 5y + -1y2 = 0 + y2 + -1y2 2 + Y2 + 5y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 2 + Y2 + 5y + -1y2 = 0 The solution to this equation could not be determined.
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