# y^2-16y-4=

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## Solution for y^2-16y-4= equation:

Simplifying
y2 + -16y + -4 = 0

Reorder the terms:
-4 + -16y + y2 = 0

Solving
-4 + -16y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + -16y + 4 + y2 = 0 + 4

Reorder the terms:
-4 + 4 + -16y + y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -16y + y2 = 0 + 4
-16y + y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-16y + y2 = 4

The y term is -16y.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16y + 64 + y2 = 4 + 64

Reorder the terms:
64 + -16y + y2 = 4 + 64

Combine like terms: 4 + 64 = 68
64 + -16y + y2 = 68

Factor a perfect square on the left side:
(y + -8)(y + -8) = 68

Calculate the square root of the right side: 8.246211251

Break this problem into two subproblems by setting
(y + -8) equal to 8.246211251 and -8.246211251.

Subproblem 1y + -8 = 8.246211251

Simplifying
y + -8 = 8.246211251

Reorder the terms:
-8 + y = 8.246211251

Solving
-8 + y = 8.246211251

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + y = 8.246211251 + 8

Combine like terms: -8 + 8 = 0
0 + y = 8.246211251 + 8
y = 8.246211251 + 8

Combine like terms: 8.246211251 + 8 = 16.246211251
y = 16.246211251

Simplifying
y = 16.246211251

Subproblem 2y + -8 = -8.246211251

Simplifying
y + -8 = -8.246211251

Reorder the terms:
-8 + y = -8.246211251

Solving
-8 + y = -8.246211251

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + y = -8.246211251 + 8

Combine like terms: -8 + 8 = 0
0 + y = -8.246211251 + 8
y = -8.246211251 + 8

Combine like terms: -8.246211251 + 8 = -0.246211251
y = -0.246211251

Simplifying
y = -0.246211251

SolutionThe solution to the problem is based on the solutions
from the subproblems.
y = {16.246211251, -0.246211251}`