-5-(15y-1)=2(7y-16)y

Solution for -5-(15y-1)=2(7y-16)y equation:

Simplifying
-5 + -1(15y + -1) = 2(7y + -16) * y

Reorder the terms:
-5 + -1(-1 + 15y) = 2(7y + -16) * y
-5 + (-1 * -1 + 15y * -1) = 2(7y + -16) * y
-5 + (1 + -15y) = 2(7y + -16) * y

Combine like terms: -5 + 1 = -4
-4 + -15y = 2(7y + -16) * y

Reorder the terms:
-4 + -15y = 2(-16 + 7y) * y

Reorder the terms for easier multiplication:
-4 + -15y = 2y(-16 + 7y)
-4 + -15y = (-16 * 2y + 7y * 2y)
-4 + -15y = (-32y + 14y2)

Solving
-4 + -15y = -32y + 14y2

Solving for variable 'y'.

Combine like terms: -15y + 32y = 17y
-4 + 17y + -14y2 = -32y + 14y2 + 32y + -14y2

Reorder the terms:
-4 + 17y + -14y2 = -32y + 32y + 14y2 + -14y2

Combine like terms: -32y + 32y = 0
-4 + 17y + -14y2 = 0 + 14y2 + -14y2
-4 + 17y + -14y2 = 14y2 + -14y2

Combine like terms: 14y2 + -14y2 = 0
-4 + 17y + -14y2 = 0

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
0.2857142857 + -1.214285714y + y2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -1.214285714y + -0.2857142857 + y2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -1.214285714y + y2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -1.214285714y + y2 = 0 + -0.2857142857
-1.214285714y + y2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-1.214285714y + y2 = -0.2857142857

The y term is -1.214285714y.  Take half its coefficient (-0.607142857).
Square it (0.3686224488) and add it to both sides.

Add '0.3686224488' to each side of the equation.
-1.214285714y + 0.3686224488 + y2 = -0.2857142857 + 0.3686224488

Reorder the terms:
0.3686224488 + -1.214285714y + y2 = -0.2857142857 + 0.3686224488

Combine like terms: -0.2857142857 + 0.3686224488 = 0.0829081631
0.3686224488 + -1.214285714y + y2 = 0.0829081631

Factor a perfect square on the left side:
(y + -0.607142857)(y + -0.607142857) = 0.0829081631

Calculate the square root of the right side: 0.287937776

Break this problem into two subproblems by setting 
(y + -0.607142857) equal to 0.287937776 and -0.287937776.

Subproblem 1
y + -0.607142857 = 0.287937776

Simplifying
y + -0.607142857 = 0.287937776

Reorder the terms:
-0.607142857 + y = 0.287937776

Solving
-0.607142857 + y = 0.287937776

Solving for variable 'y'.

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

Add '0.607142857' to each side of the equation.
-0.607142857 + 0.607142857 + y = 0.287937776 + 0.607142857

Combine like terms: -0.607142857 + 0.607142857 = 0.000000000
0.000000000 + y = 0.287937776 + 0.607142857
y = 0.287937776 + 0.607142857

Combine like terms: 0.287937776 + 0.607142857 = 0.895080633
y = 0.895080633

Simplifying
y = 0.895080633

Subproblem 2
y + -0.607142857 = -0.287937776

Simplifying
y + -0.607142857 = -0.287937776

Reorder the terms:
-0.607142857 + y = -0.287937776

Solving
-0.607142857 + y = -0.287937776

Solving for variable 'y'.

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

Add '0.607142857' to each side of the equation.
-0.607142857 + 0.607142857 + y = -0.287937776 + 0.607142857

Combine like terms: -0.607142857 + 0.607142857 = 0.000000000
0.000000000 + y = -0.287937776 + 0.607142857
y = -0.287937776 + 0.607142857

Combine like terms: -0.287937776 + 0.607142857 = 0.319205081
y = 0.319205081

Simplifying
y = 0.319205081

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.895080633, 0.319205081}