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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}
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