(3y-1)(3y+1)=25

Solution for (3y-1)(3y+1)=25 equation:

Simplifying
(3y + -1)(3y + 1) = 25

Reorder the terms:
(-1 + 3y)(3y + 1) = 25

Reorder the terms:
(-1 + 3y)(1 + 3y) = 25

Multiply (-1 + 3y) * (1 + 3y)
(-1(1 + 3y) + 3y * (1 + 3y)) = 25
((1 * -1 + 3y * -1) + 3y * (1 + 3y)) = 25
((-1 + -3y) + 3y * (1 + 3y)) = 25
(-1 + -3y + (1 * 3y + 3y * 3y)) = 25
(-1 + -3y + (3y + 9y2)) = 25

Combine like terms: -3y + 3y = 0
(-1 + 0 + 9y2) = 25
(-1 + 9y2) = 25

Solving
-1 + 9y2 = 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 + 9y2 = 25 + 1

Combine like terms: -1 + 1 = 0
0 + 9y2 = 25 + 1
9y2 = 25 + 1

Combine like terms: 25 + 1 = 26
9y2 = 26

Divide each side by '9'.
y2 = 2.888888889

Simplifying
y2 = 2.888888889

Take the square root of each side:
y = {-1.699673171, 1.699673171}