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Simplifying (y + -1)(y + 7) + -1(Y + 2)(Y + 3) = 5Y + -1 Reorder the terms: (-1 + y)(y + 7) + -1(Y + 2)(Y + 3) = 5Y + -1 Reorder the terms: (-1 + y)(7 + y) + -1(Y + 2)(Y + 3) = 5Y + -1 Multiply (-1 + y) * (7 + y) (-1(7 + y) + y(7 + y)) + -1(Y + 2)(Y + 3) = 5Y + -1 ((7 * -1 + y * -1) + y(7 + y)) + -1(Y + 2)(Y + 3) = 5Y + -1 ((-7 + -1y) + y(7 + y)) + -1(Y + 2)(Y + 3) = 5Y + -1 (-7 + -1y + (7 * y + y * y)) + -1(Y + 2)(Y + 3) = 5Y + -1 (-7 + -1y + (7y + y2)) + -1(Y + 2)(Y + 3) = 5Y + -1 Combine like terms: -1y + 7y = 6y (-7 + 6y + y2) + -1(Y + 2)(Y + 3) = 5Y + -1 Reorder the terms: -7 + 6y + y2 + -1(2 + Y)(Y + 3) = 5Y + -1 Reorder the terms: -7 + 6y + y2 + -1(2 + Y)(3 + Y) = 5Y + -1 Multiply (2 + Y) * (3 + Y) -7 + 6y + y2 + -1(2(3 + Y) + Y(3 + Y)) = 5Y + -1 -7 + 6y + y2 + -1((3 * 2 + Y * 2) + Y(3 + Y)) = 5Y + -1 -7 + 6y + y2 + -1((6 + 2Y) + Y(3 + Y)) = 5Y + -1 -7 + 6y + y2 + -1(6 + 2Y + (3 * Y + Y * Y)) = 5Y + -1 -7 + 6y + y2 + -1(6 + 2Y + (3Y + Y2)) = 5Y + -1 Combine like terms: 2Y + 3Y = 5Y -7 + 6y + y2 + -1(6 + 5Y + Y2) = 5Y + -1 -7 + 6y + y2 + (6 * -1 + 5Y * -1 + Y2 * -1) = 5Y + -1 -7 + 6y + y2 + (-6 + -5Y + -1Y2) = 5Y + -1 Reorder the terms: -7 + -6 + -5Y + -1Y2 + 6y + y2 = 5Y + -1 Combine like terms: -7 + -6 = -13 -13 + -5Y + -1Y2 + 6y + y2 = 5Y + -1 Reorder the terms: -13 + -5Y + -1Y2 + 6y + y2 = -1 + 5Y Solving -13 + -5Y + -1Y2 + 6y + y2 = -1 + 5Y Solving for variable 'Y'. Reorder the terms: -13 + 1 + -5Y + -5Y + -1Y2 + 6y + y2 = -1 + 5Y + 1 + -5Y Combine like terms: -13 + 1 = -12 -12 + -5Y + -5Y + -1Y2 + 6y + y2 = -1 + 5Y + 1 + -5Y Combine like terms: -5Y + -5Y = -10Y -12 + -10Y + -1Y2 + 6y + y2 = -1 + 5Y + 1 + -5Y Reorder the terms: -12 + -10Y + -1Y2 + 6y + y2 = -1 + 1 + 5Y + -5Y Combine like terms: -1 + 1 = 0 -12 + -10Y + -1Y2 + 6y + y2 = 0 + 5Y + -5Y -12 + -10Y + -1Y2 + 6y + y2 = 5Y + -5Y Combine like terms: 5Y + -5Y = 0 -12 + -10Y + -1Y2 + 6y + y2 = 0 The solution to this equation could not be determined.
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