(11y^2-7y+9)-(3y^2-2)=

Solution for (11y^2-7y+9)-(3y^2-2)= equation:

Simplifying
(11y2 + -7y + 9) + -1(3y2 + -2) = 0

Reorder the terms:
(9 + -7y + 11y2) + -1(3y2 + -2) = 0

Remove parenthesis around (9 + -7y + 11y2)
9 + -7y + 11y2 + -1(3y2 + -2) = 0

Reorder the terms:
9 + -7y + 11y2 + -1(-2 + 3y2) = 0
9 + -7y + 11y2 + (-2 * -1 + 3y2 * -1) = 0
9 + -7y + 11y2 + (2 + -3y2) = 0

Reorder the terms:
9 + 2 + -7y + 11y2 + -3y2 = 0

Combine like terms: 9 + 2 = 11
11 + -7y + 11y2 + -3y2 = 0

Combine like terms: 11y2 + -3y2 = 8y2
11 + -7y + 8y2 = 0

Solving
11 + -7y + 8y2 = 0

Solving for variable 'y'.

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

Divide each side by '8'.
1.375 + -0.875y + y2 = 0

Move the constant term to the right:

Add '-1.375' to each side of the equation.
1.375 + -0.875y + -1.375 + y2 = 0 + -1.375

Reorder the terms:
1.375 + -1.375 + -0.875y + y2 = 0 + -1.375

Combine like terms: 1.375 + -1.375 = 0.000
0.000 + -0.875y + y2 = 0 + -1.375
-0.875y + y2 = 0 + -1.375

Combine like terms: 0 + -1.375 = -1.375
-0.875y + y2 = -1.375

The y term is -0.875y.  Take half its coefficient (-0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
-0.875y + 0.19140625 + y2 = -1.375 + 0.19140625

Reorder the terms:
0.19140625 + -0.875y + y2 = -1.375 + 0.19140625

Combine like terms: -1.375 + 0.19140625 = -1.18359375
0.19140625 + -0.875y + y2 = -1.18359375

Factor a perfect square on the left side:
(y + -0.4375)(y + -0.4375) = -1.18359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.