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

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

Simplifying
(2y2)(y + 1) = (y + -3)(y + -2)

Remove parenthesis around (2y2)
2y2(y + 1) = (y + -3)(y + -2)

Reorder the terms:
2y2(1 + y) = (y + -3)(y + -2)
(1 * 2y2 + y * 2y2) = (y + -3)(y + -2)
(2y2 + 2y3) = (y + -3)(y + -2)

Reorder the terms:
2y2 + 2y3 = (-3 + y)(y + -2)

Reorder the terms:
2y2 + 2y3 = (-3 + y)(-2 + y)

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

Combine like terms: -3y + -2y = -5y
2y2 + 2y3 = (6 + -5y + y2)

Solving
2y2 + 2y3 = 6 + -5y + y2

Solving for variable 'y'.

Reorder the terms:
-6 + 5y + 2y2 + -1y2 + 2y3 = 6 + -5y + y2 + -6 + 5y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-6 + 5y + 1y2 + 2y3 = 6 + -5y + y2 + -6 + 5y + -1y2

Reorder the terms:
-6 + 5y + 1y2 + 2y3 = 6 + -6 + -5y + 5y + y2 + -1y2

Combine like terms: 6 + -6 = 0
-6 + 5y + 1y2 + 2y3 = 0 + -5y + 5y + y2 + -1y2
-6 + 5y + 1y2 + 2y3 = -5y + 5y + y2 + -1y2

Combine like terms: -5y + 5y = 0
-6 + 5y + 1y2 + 2y3 = 0 + y2 + -1y2
-6 + 5y + 1y2 + 2y3 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-6 + 5y + 1y2 + 2y3 = 0

The solution to this equation could not be determined.