(-9y+5)-8(-y-2)y=-3

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Solution for (-9y+5)-8(-y-2)y=-3 equation: 


Simplifying
(-9y + 5) + -8(-1y + -2) * y = -3

Reorder the terms:
(5 + -9y) + -8(-1y + -2) * y = -3

Remove parenthesis around (5 + -9y)
5 + -9y + -8(-1y + -2) * y = -3

Reorder the terms:
5 + -9y + -8(-2 + -1y) * y = -3

Reorder the terms for easier multiplication:
5 + -9y + -8y(-2 + -1y) = -3
5 + -9y + (-2 * -8y + -1y * -8y) = -3
5 + -9y + (16y + 8y2) = -3

Combine like terms: -9y + 16y = 7y
5 + 7y + 8y2 = -3

Solving
5 + 7y + 8y2 = -3

Solving for variable 'y'.

Reorder the terms:
5 + 3 + 7y + 8y2 = -3 + 3

Combine like terms: 5 + 3 = 8
8 + 7y + 8y2 = -3 + 3

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

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

Divide each side by '8'.
1 + 0.875y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.875y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + 0.875y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.875y + y2 = 0 + -1
0.875y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.875y + y2 = -1

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 + 0.19140625

Reorder the terms:
0.19140625 + 0.875y + y2 = -1 + 0.19140625

Combine like terms: -1 + 0.19140625 = -0.80859375
0.19140625 + 0.875y + y2 = -0.80859375

Factor a perfect square on the left side:
(y + 0.4375)(y + 0.4375) = -0.80859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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