5y^2-7(-1y-4)=5-1(9-y)

Solution for 5y^2-7(-1y-4)=5-1(9-y) equation:

Simplifying
5y2 + -7(-1y + -4) = 5 + -1(9 + -1y)

Reorder the terms:
5y2 + -7(-4 + -1y) = 5 + -1(9 + -1y)
5y2 + (-4 * -7 + -1y * -7) = 5 + -1(9 + -1y)
5y2 + (28 + 7y) = 5 + -1(9 + -1y)

Reorder the terms:
28 + 7y + 5y2 = 5 + -1(9 + -1y)
28 + 7y + 5y2 = 5 + (9 * -1 + -1y * -1)
28 + 7y + 5y2 = 5 + (-9 + 1y)

Combine like terms: 5 + -9 = -4
28 + 7y + 5y2 = -4 + 1y

Solving
28 + 7y + 5y2 = -4 + 1y

Solving for variable 'y'.

Reorder the terms:
28 + 4 + 7y + -1y + 5y2 = -4 + 1y + 4 + -1y

Combine like terms: 28 + 4 = 32
32 + 7y + -1y + 5y2 = -4 + 1y + 4 + -1y

Combine like terms: 7y + -1y = 6y
32 + 6y + 5y2 = -4 + 1y + 4 + -1y

Reorder the terms:
32 + 6y + 5y2 = -4 + 4 + 1y + -1y

Combine like terms: -4 + 4 = 0
32 + 6y + 5y2 = 0 + 1y + -1y
32 + 6y + 5y2 = 1y + -1y

Combine like terms: 1y + -1y = 0
32 + 6y + 5y2 = 0

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

Divide each side by '5'.
6.4 + 1.2y + y2 = 0

Move the constant term to the right:

Add '-6.4' to each side of the equation.
6.4 + 1.2y + -6.4 + y2 = 0 + -6.4

Reorder the terms:
6.4 + -6.4 + 1.2y + y2 = 0 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 1.2y + y2 = 0 + -6.4
1.2y + y2 = 0 + -6.4

Combine like terms: 0 + -6.4 = -6.4
1.2y + y2 = -6.4

The y term is 1.2y.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2y + 0.36 + y2 = -6.4 + 0.36

Reorder the terms:
0.36 + 1.2y + y2 = -6.4 + 0.36

Combine like terms: -6.4 + 0.36 = -6.04
0.36 + 1.2y + y2 = -6.04

Factor a perfect square on the left side:
(y + 0.6)(y + 0.6) = -6.04

Can't calculate square root of the right side.

The solution to this equation could not be determined.