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Simplifying (y + 5)(Y + -7) = -20 Reorder the terms: (5 + y)(Y + -7) = -20 Reorder the terms: (5 + y)(-7 + Y) = -20 Multiply (5 + y) * (-7 + Y) (5(-7 + Y) + y(-7 + Y)) = -20 ((-7 * 5 + Y * 5) + y(-7 + Y)) = -20 ((-35 + 5Y) + y(-7 + Y)) = -20 (-35 + 5Y + (-7 * y + Y * y)) = -20 (-35 + 5Y + (-7y + yY)) = -20 (-35 + 5Y + -7y + yY) = -20 Solving -35 + 5Y + -7y + yY = -20 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 5Y + -7y + 35 + yY = -20 + 35 Reorder the terms: -35 + 35 + 5Y + -7y + yY = -20 + 35 Combine like terms: -35 + 35 = 0 0 + 5Y + -7y + yY = -20 + 35 5Y + -7y + yY = -20 + 35 Combine like terms: -20 + 35 = 15 5Y + -7y + yY = 15 Add '7y' to each side of the equation. 5Y + -7y + 7y + yY = 15 + 7y Combine like terms: -7y + 7y = 0 5Y + 0 + yY = 15 + 7y 5Y + yY = 15 + 7y Reorder the terms: -15 + 5Y + -7y + yY = 15 + 7y + -15 + -7y Reorder the terms: -15 + 5Y + -7y + yY = 15 + -15 + 7y + -7y Combine like terms: 15 + -15 = 0 -15 + 5Y + -7y + yY = 0 + 7y + -7y -15 + 5Y + -7y + yY = 7y + -7y Combine like terms: 7y + -7y = 0 -15 + 5Y + -7y + yY = 0 The solution to this equation could not be determined.
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