-26+26y=2y(4y-2)

Solution for -26+26y=2y(4y-2) equation:

Simplifying
-26 + 26y = 2y(4y + -2)

Reorder the terms:
-26 + 26y = 2y(-2 + 4y)
-26 + 26y = (-2 * 2y + 4y * 2y)
-26 + 26y = (-4y + 8y2)

Solving
-26 + 26y = -4y + 8y2

Solving for variable 'y'.

Combine like terms: 26y + 4y = 30y
-26 + 30y + -8y2 = -4y + 8y2 + 4y + -8y2

Reorder the terms:
-26 + 30y + -8y2 = -4y + 4y + 8y2 + -8y2

Combine like terms: -4y + 4y = 0
-26 + 30y + -8y2 = 0 + 8y2 + -8y2
-26 + 30y + -8y2 = 8y2 + -8y2

Combine like terms: 8y2 + -8y2 = 0
-26 + 30y + -8y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 15y + -4y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-13 + 15y + -4y2)' equal to zero and attempt to solve:

Simplifying
-13 + 15y + -4y2 = 0

Solving
-13 + 15y + -4y2 = 0

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

Divide each side by '-4'.
3.25 + -3.75y + y2 = 0

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + -3.75y + -3.25 + y2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + -3.75y + y2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -3.75y + y2 = 0 + -3.25
-3.75y + y2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
-3.75y + y2 = -3.25

The y term is -3.75y.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75y + 3.515625 + y2 = -3.25 + 3.515625

Reorder the terms:
3.515625 + -3.75y + y2 = -3.25 + 3.515625

Combine like terms: -3.25 + 3.515625 = 0.265625
3.515625 + -3.75y + y2 = 0.265625

Factor a perfect square on the left side:
(y + -1.875)(y + -1.875) = 0.265625

Calculate the square root of the right side: 0.515388203

Break this problem into two subproblems by setting 
(y + -1.875) equal to 0.515388203 and -0.515388203.

Subproblem 1
y + -1.875 = 0.515388203

Simplifying
y + -1.875 = 0.515388203

Reorder the terms:
-1.875 + y = 0.515388203

Solving
-1.875 + y = 0.515388203

Solving for variable 'y'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + y = 0.515388203 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + y = 0.515388203 + 1.875
y = 0.515388203 + 1.875

Combine like terms: 0.515388203 + 1.875 = 2.390388203
y = 2.390388203

Simplifying
y = 2.390388203

Subproblem 2
y + -1.875 = -0.515388203

Simplifying
y + -1.875 = -0.515388203

Reorder the terms:
-1.875 + y = -0.515388203

Solving
-1.875 + y = -0.515388203

Solving for variable 'y'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + y = -0.515388203 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + y = -0.515388203 + 1.875
y = -0.515388203 + 1.875

Combine like terms: -0.515388203 + 1.875 = 1.359611797
y = 1.359611797

Simplifying
y = 1.359611797

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {2.390388203, 1.359611797}
Solution
y = {2.390388203, 1.359611797}