=(y-1)(2-y)(y-3)

Solution for =(y-1)(2-y)(y-3) equation:

Simplifying
0 = (y + -1)(2 + -1y)(y + -3)

Reorder the terms:
0 = (-1 + y)(2 + -1y)(y + -3)

Reorder the terms:
0 = (-1 + y)(2 + -1y)(-3 + y)

Multiply (-1 + y) * (2 + -1y)
0 = (-1(2 + -1y) + y(2 + -1y))(-3 + y)
0 = ((2 * -1 + -1y * -1) + y(2 + -1y))(-3 + y)
0 = ((-2 + 1y) + y(2 + -1y))(-3 + y)
0 = (-2 + 1y + (2 * y + -1y * y))(-3 + y)
0 = (-2 + 1y + (2y + -1y2))(-3 + y)

Combine like terms: 1y + 2y = 3y
0 = (-2 + 3y + -1y2)(-3 + y)

Multiply (-2 + 3y + -1y2) * (-3 + y)
0 = (-2(-3 + y) + 3y * (-3 + y) + -1y2 * (-3 + y))
0 = ((-3 * -2 + y * -2) + 3y * (-3 + y) + -1y2 * (-3 + y))
0 = ((6 + -2y) + 3y * (-3 + y) + -1y2 * (-3 + y))
0 = (6 + -2y + (-3 * 3y + y * 3y) + -1y2 * (-3 + y))
0 = (6 + -2y + (-9y + 3y2) + -1y2 * (-3 + y))
0 = (6 + -2y + -9y + 3y2 + (-3 * -1y2 + y * -1y2))
0 = (6 + -2y + -9y + 3y2 + (3y2 + -1y3))

Combine like terms: -2y + -9y = -11y
0 = (6 + -11y + 3y2 + 3y2 + -1y3)

Combine like terms: 3y2 + 3y2 = 6y2
0 = (6 + -11y + 6y2 + -1y3)

Solving
0 = 6 + -11y + 6y2 + -1y3

Solving for variable 'y'.

Combine like terms: 0 + -6 = -6
-6 + 11y + -6y2 + y3 = 6 + -11y + 6y2 + -1y3 + -6 + 11y + -6y2 + y3

Reorder the terms:
-6 + 11y + -6y2 + y3 = 6 + -6 + -11y + 11y + 6y2 + -6y2 + -1y3 + y3

Combine like terms: 6 + -6 = 0
-6 + 11y + -6y2 + y3 = 0 + -11y + 11y + 6y2 + -6y2 + -1y3 + y3
-6 + 11y + -6y2 + y3 = -11y + 11y + 6y2 + -6y2 + -1y3 + y3

Combine like terms: -11y + 11y = 0
-6 + 11y + -6y2 + y3 = 0 + 6y2 + -6y2 + -1y3 + y3
-6 + 11y + -6y2 + y3 = 6y2 + -6y2 + -1y3 + y3

Combine like terms: 6y2 + -6y2 = 0
-6 + 11y + -6y2 + y3 = 0 + -1y3 + y3
-6 + 11y + -6y2 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
-6 + 11y + -6y2 + y3 = 0

The solution to this equation could not be determined.