8(y+4)-2y(y-1)=70-3y

Solution for 8(y+4)-2y(y-1)=70-3y equation:

Simplifying
8(y + 4) + -2y(y + -1) = 70 + -3y

Reorder the terms:
8(4 + y) + -2y(y + -1) = 70 + -3y
(4 * 8 + y * 8) + -2y(y + -1) = 70 + -3y
(32 + 8y) + -2y(y + -1) = 70 + -3y

Reorder the terms:
32 + 8y + -2y(-1 + y) = 70 + -3y
32 + 8y + (-1 * -2y + y * -2y) = 70 + -3y
32 + 8y + (2y + -2y2) = 70 + -3y

Combine like terms: 8y + 2y = 10y
32 + 10y + -2y2 = 70 + -3y

Solving
32 + 10y + -2y2 = 70 + -3y

Solving for variable 'y'.

Reorder the terms:
32 + -70 + 10y + 3y + -2y2 = 70 + -3y + -70 + 3y

Combine like terms: 32 + -70 = -38
-38 + 10y + 3y + -2y2 = 70 + -3y + -70 + 3y

Combine like terms: 10y + 3y = 13y
-38 + 13y + -2y2 = 70 + -3y + -70 + 3y

Reorder the terms:
-38 + 13y + -2y2 = 70 + -70 + -3y + 3y

Combine like terms: 70 + -70 = 0
-38 + 13y + -2y2 = 0 + -3y + 3y
-38 + 13y + -2y2 = -3y + 3y

Combine like terms: -3y + 3y = 0
-38 + 13y + -2y2 = 0

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

Divide each side by '-2'.
19 + -6.5y + y2 = 0

Move the constant term to the right:

Add '-19' to each side of the equation.
19 + -6.5y + -19 + y2 = 0 + -19

Reorder the terms:
19 + -19 + -6.5y + y2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -6.5y + y2 = 0 + -19
-6.5y + y2 = 0 + -19

Combine like terms: 0 + -19 = -19
-6.5y + y2 = -19

The y term is -6.5y.  Take half its coefficient (-3.25).
Square it (10.5625) and add it to both sides.

Add '10.5625' to each side of the equation.
-6.5y + 10.5625 + y2 = -19 + 10.5625

Reorder the terms:
10.5625 + -6.5y + y2 = -19 + 10.5625

Combine like terms: -19 + 10.5625 = -8.4375
10.5625 + -6.5y + y2 = -8.4375

Factor a perfect square on the left side:
(y + -3.25)(y + -3.25) = -8.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.