-5(y^2+2y-7)+8(6y+4y^2-1)-(-(y+y^2))=

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Solution for -5(y^2+2y-7)+8(6y+4y^2-1)-(-(y+y^2))= equation: 


Simplifying
-5(y2 + 2y + -7) + 8(6y + 4y2 + -1) + -1(-1(y + y2)) = 0

Reorder the terms:
-5(-7 + 2y + y2) + 8(6y + 4y2 + -1) + -1(-1(y + y2)) = 0
(-7 * -5 + 2y * -5 + y2 * -5) + 8(6y + 4y2 + -1) + -1(-1(y + y2)) = 0
(35 + -10y + -5y2) + 8(6y + 4y2 + -1) + -1(-1(y + y2)) = 0

Reorder the terms:
35 + -10y + -5y2 + 8(-1 + 6y + 4y2) + -1(-1(y + y2)) = 0
35 + -10y + -5y2 + (-1 * 8 + 6y * 8 + 4y2 * 8) + -1(-1(y + y2)) = 0
35 + -10y + -5y2 + (-8 + 48y + 32y2) + -1(-1(y + y2)) = 0
35 + -10y + -5y2 + -8 + 48y + 32y2 + -1((y * -1 + y2 * -1)) = 0
35 + -10y + -5y2 + -8 + 48y + 32y2 + -1((-1y + -1y2)) = 0
35 + -10y + -5y2 + -8 + 48y + 32y2 + (-1y * -1 + -1y2 * -1) = 0
35 + -10y + -5y2 + -8 + 48y + 32y2 + (1y + 1y2) = 0

Reorder the terms:
35 + -8 + -10y + 48y + 1y + -5y2 + 32y2 + 1y2 = 0

Combine like terms: 35 + -8 = 27
27 + -10y + 48y + 1y + -5y2 + 32y2 + 1y2 = 0

Combine like terms: -10y + 48y = 38y
27 + 38y + 1y + -5y2 + 32y2 + 1y2 = 0

Combine like terms: 38y + 1y = 39y
27 + 39y + -5y2 + 32y2 + 1y2 = 0

Combine like terms: -5y2 + 32y2 = 27y2
27 + 39y + 27y2 + 1y2 = 0

Combine like terms: 27y2 + 1y2 = 28y2
27 + 39y + 28y2 = 0

Solving
27 + 39y + 28y2 = 0

Solving for variable 'y'.

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

Divide each side by '28'.
0.9642857143 + 1.392857143y + y2 = 0

Move the constant term to the right:

Add '-0.9642857143' to each side of the equation.
0.9642857143 + 1.392857143y + -0.9642857143 + y2 = 0 + -0.9642857143

Reorder the terms:
0.9642857143 + -0.9642857143 + 1.392857143y + y2 = 0 + -0.9642857143

Combine like terms: 0.9642857143 + -0.9642857143 = 0.0000000000
0.0000000000 + 1.392857143y + y2 = 0 + -0.9642857143
1.392857143y + y2 = 0 + -0.9642857143

Combine like terms: 0 + -0.9642857143 = -0.9642857143
1.392857143y + y2 = -0.9642857143

The y term is 1.392857143y.  Take half its coefficient (0.6964285715).
Square it (0.4850127552) and add it to both sides.

Add '0.4850127552' to each side of the equation.
1.392857143y + 0.4850127552 + y2 = -0.9642857143 + 0.4850127552

Reorder the terms:
0.4850127552 + 1.392857143y + y2 = -0.9642857143 + 0.4850127552

Combine like terms: -0.9642857143 + 0.4850127552 = -0.4792729591
0.4850127552 + 1.392857143y + y2 = -0.4792729591

Factor a perfect square on the left side:
(y + 0.6964285715)(y + 0.6964285715) = -0.4792729591

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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