Simplifying
16y2 + -1 = 0

Reorder the terms:
-1 + 16y2 = 0

Solving
-1 + 16y2 = 0

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 16y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 16y2 = 0 + 1
16y2 = 0 + 1

Combine like terms: 0 + 1 = 1
16y2 = 1

Divide each side by '16'.
y2 = 0.0625

Simplifying
y2 = 0.0625

Reorder the terms:
-0.0625 + y2 = 0.0625 + -0.0625

Combine like terms: 0.0625 + -0.0625 = 0.0000
-0.0625 + y2 = 0.0000

Factor a difference between two squares.
(0.25 + y)(-0.25 + y) = 0.0000

Subproblem 1
Set the factor '(0.25 + y)' equal to zero and attempt to solve:

Simplifying
0.25 + y = 0

Solving
0.25 + y = 0

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + y = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + y = 0 + -0.25
y = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
y = -0.25

Simplifying
y = -0.25
Subproblem 2
Set the factor '(-0.25 + y)' equal to zero and attempt to solve:

Simplifying
-0.25 + y = 0

Solving
-0.25 + y = 0

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

Add '0.25' to each side of the equation.
-0.25 + 0.25 + y = 0 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.00 + y = 0 + 0.25
y = 0 + 0.25

Combine like terms: 0 + 0.25 = 0.25
y = 0.25

Simplifying
y = 0.25
Solution
y = {-0.25, 0.25}