(2y-1)(2y+1)=25

Solution for (2y-1)(2y+1)=25 equation:

Simplifying
(2y + -1)(2y + 1) = 25

Reorder the terms:
(-1 + 2y)(2y + 1) = 25

Reorder the terms:
(-1 + 2y)(1 + 2y) = 25

Multiply (-1 + 2y) * (1 + 2y)
(-1(1 + 2y) + 2y * (1 + 2y)) = 25
((1 * -1 + 2y * -1) + 2y * (1 + 2y)) = 25
((-1 + -2y) + 2y * (1 + 2y)) = 25
(-1 + -2y + (1 * 2y + 2y * 2y)) = 25
(-1 + -2y + (2y + 4y2)) = 25

Combine like terms: -2y + 2y = 0
(-1 + 0 + 4y2) = 25
(-1 + 4y2) = 25

Solving
-1 + 4y2 = 25

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 + 4y2 = 25 + 1

Combine like terms: -1 + 1 = 0
0 + 4y2 = 25 + 1
4y2 = 25 + 1

Combine like terms: 25 + 1 = 26
4y2 = 26

Divide each side by '4'.
y2 = 6.5

Simplifying
y2 = 6.5

Take the square root of each side:
y = {-2.549509757, 2.549509757}