15-y(3-(4y+4)-57)=2-y

Solution for 15-y(3-(4y+4)-57)=2-y equation:

Simplifying
15 + -1y(3 + -1(4y + 4) + -57) = 2 + -1y

Reorder the terms:
15 + -1y(3 + -1(4 + 4y) + -57) = 2 + -1y
15 + -1y(3 + (4 * -1 + 4y * -1) + -57) = 2 + -1y
15 + -1y(3 + (-4 + -4y) + -57) = 2 + -1y

Reorder the terms:
15 + -1y(3 + -4 + -57 + -4y) = 2 + -1y

Combine like terms: 3 + -4 = -1
15 + -1y(-1 + -57 + -4y) = 2 + -1y

Combine like terms: -1 + -57 = -58
15 + -1y(-58 + -4y) = 2 + -1y
15 + (-58 * -1y + -4y * -1y) = 2 + -1y
15 + (58y + 4y2) = 2 + -1y

Solving
15 + 58y + 4y2 = 2 + -1y

Solving for variable 'y'.

Reorder the terms:
15 + -2 + 58y + y + 4y2 = 2 + -1y + -2 + y

Combine like terms: 15 + -2 = 13
13 + 58y + y + 4y2 = 2 + -1y + -2 + y

Combine like terms: 58y + y = 59y
13 + 59y + 4y2 = 2 + -1y + -2 + y

Reorder the terms:
13 + 59y + 4y2 = 2 + -2 + -1y + y

Combine like terms: 2 + -2 = 0
13 + 59y + 4y2 = 0 + -1y + y
13 + 59y + 4y2 = -1y + y

Combine like terms: -1y + y = 0
13 + 59y + 4y2 = 0

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

Divide each side by '4'.
3.25 + 14.75y + y2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + 14.75y + -3.25 + y2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + 14.75y + y2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + 14.75y + y2 = 0 + -3.25
14.75y + y2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
14.75y + y2 = -3.25

The y term is 14.75y.  Take half its coefficient (7.375).
Square it (54.390625) and add it to both sides.

Add '54.390625' to each side of the equation.
14.75y + 54.390625 + y2 = -3.25 + 54.390625

Reorder the terms:
54.390625 + 14.75y + y2 = -3.25 + 54.390625

Combine like terms: -3.25 + 54.390625 = 51.140625
54.390625 + 14.75y + y2 = 51.140625

Factor a perfect square on the left side:
(y + 7.375)(y + 7.375) = 51.140625

Calculate the square root of the right side: 7.15126737

Break this problem into two subproblems by setting 
(y + 7.375) equal to 7.15126737 and -7.15126737.

Subproblem 1
y + 7.375 = 7.15126737

Simplifying
y + 7.375 = 7.15126737

Reorder the terms:
7.375 + y = 7.15126737

Solving
7.375 + y = 7.15126737

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7.375' to each side of the equation.
7.375 + -7.375 + y = 7.15126737 + -7.375

Combine like terms: 7.375 + -7.375 = 0.000
0.000 + y = 7.15126737 + -7.375
y = 7.15126737 + -7.375

Combine like terms: 7.15126737 + -7.375 = -0.22373263
y = -0.22373263

Simplifying
y = -0.22373263

Subproblem 2
y + 7.375 = -7.15126737

Simplifying
y + 7.375 = -7.15126737

Reorder the terms:
7.375 + y = -7.15126737

Solving
7.375 + y = -7.15126737

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7.375' to each side of the equation.
7.375 + -7.375 + y = -7.15126737 + -7.375

Combine like terms: 7.375 + -7.375 = 0.000
0.000 + y = -7.15126737 + -7.375
y = -7.15126737 + -7.375

Combine like terms: -7.15126737 + -7.375 = -14.52626737
y = -14.52626737

Simplifying
y = -14.52626737

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-0.22373263, -14.52626737}