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Simplifying (y + 1)(4 + -1y) = (Y + 4)(Y + -1) Reorder the terms: (1 + y)(4 + -1y) = (Y + 4)(Y + -1) Multiply (1 + y) * (4 + -1y) (1(4 + -1y) + y(4 + -1y)) = (Y + 4)(Y + -1) ((4 * 1 + -1y * 1) + y(4 + -1y)) = (Y + 4)(Y + -1) ((4 + -1y) + y(4 + -1y)) = (Y + 4)(Y + -1) (4 + -1y + (4 * y + -1y * y)) = (Y + 4)(Y + -1) (4 + -1y + (4y + -1y2)) = (Y + 4)(Y + -1) Combine like terms: -1y + 4y = 3y (4 + 3y + -1y2) = (Y + 4)(Y + -1) Reorder the terms: 4 + 3y + -1y2 = (4 + Y)(Y + -1) Reorder the terms: 4 + 3y + -1y2 = (4 + Y)(-1 + Y) Multiply (4 + Y) * (-1 + Y) 4 + 3y + -1y2 = (4(-1 + Y) + Y(-1 + Y)) 4 + 3y + -1y2 = ((-1 * 4 + Y * 4) + Y(-1 + Y)) 4 + 3y + -1y2 = ((-4 + 4Y) + Y(-1 + Y)) 4 + 3y + -1y2 = (-4 + 4Y + (-1 * Y + Y * Y)) 4 + 3y + -1y2 = (-4 + 4Y + (-1Y + Y2)) Combine like terms: 4Y + -1Y = 3Y 4 + 3y + -1y2 = (-4 + 3Y + Y2) Solving 4 + 3y + -1y2 = -4 + 3Y + Y2 Solving for variable 'y'. Reorder the terms: 4 + 4 + -3Y + -1Y2 + 3y + -1y2 = -4 + 3Y + Y2 + 4 + -3Y + -1Y2 Combine like terms: 4 + 4 = 8 8 + -3Y + -1Y2 + 3y + -1y2 = -4 + 3Y + Y2 + 4 + -3Y + -1Y2 Reorder the terms: 8 + -3Y + -1Y2 + 3y + -1y2 = -4 + 4 + 3Y + -3Y + Y2 + -1Y2 Combine like terms: -4 + 4 = 0 8 + -3Y + -1Y2 + 3y + -1y2 = 0 + 3Y + -3Y + Y2 + -1Y2 8 + -3Y + -1Y2 + 3y + -1y2 = 3Y + -3Y + Y2 + -1Y2 Combine like terms: 3Y + -3Y = 0 8 + -3Y + -1Y2 + 3y + -1y2 = 0 + Y2 + -1Y2 8 + -3Y + -1Y2 + 3y + -1y2 = Y2 + -1Y2 Combine like terms: Y2 + -1Y2 = 0 8 + -3Y + -1Y2 + 3y + -1y2 = 0 The solution to this equation could not be determined.
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