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

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

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

Reorder the terms:
3y + -2y(2 + y) = 2 + -2y
3y + (2 * -2y + y * -2y) = 2 + -2y
3y + (-4y + -2y2) = 2 + -2y

Combine like terms: 3y + -4y = -1y
-1y + -2y2 = 2 + -2y

Solving
-1y + -2y2 = 2 + -2y

Solving for variable 'y'.

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

Combine like terms: -1y + 2y = 1y
-2 + 1y + -2y2 = 2 + -2y + -2 + 2y

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

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

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

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1 + -0.5y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5y + y2 = 0 + -1
-0.5y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5y + y2 = -1

The y term is -0.5y.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5y + 0.0625 + y2 = -1 + 0.0625

Reorder the terms:
0.0625 + -0.5y + y2 = -1 + 0.0625

Combine like terms: -1 + 0.0625 = -0.9375
0.0625 + -0.5y + y2 = -0.9375

Factor a perfect square on the left side:
(y + -0.25)(y + -0.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.