2y-(y+2)(y-3)=12

Solution for 2y-(y+2)(y-3)=12 equation:

Simplifying
2y + -1(y + 2)(y + -3) = 12

Reorder the terms:
2y + -1(2 + y)(y + -3) = 12

Reorder the terms:
2y + -1(2 + y)(-3 + y) = 12

Multiply (2 + y) * (-3 + y)
2y + -1(2(-3 + y) + y(-3 + y)) = 12
2y + -1((-3 * 2 + y * 2) + y(-3 + y)) = 12
2y + -1((-6 + 2y) + y(-3 + y)) = 12
2y + -1(-6 + 2y + (-3 * y + y * y)) = 12
2y + -1(-6 + 2y + (-3y + y2)) = 12

Combine like terms: 2y + -3y = -1y
2y + -1(-6 + -1y + y2) = 12
2y + (-6 * -1 + -1y * -1 + y2 * -1) = 12
2y + (6 + 1y + -1y2) = 12

Reorder the terms:
6 + 2y + 1y + -1y2 = 12

Combine like terms: 2y + 1y = 3y
6 + 3y + -1y2 = 12

Solving
6 + 3y + -1y2 = 12

Solving for variable 'y'.

Reorder the terms:
6 + -12 + 3y + -1y2 = 12 + -12

Combine like terms: 6 + -12 = -6
-6 + 3y + -1y2 = 12 + -12

Combine like terms: 12 + -12 = 0
-6 + 3y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
6 + -3y + y2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -3y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3y + y2 = 0 + -6
-3y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3y + y2 = -6

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -6 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + -3y + y2 = -3.75

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.