(3y)(3y)-(2)(2)=16

Solution for (3y)(3y)-(2)(2)=16 equation:

Simplifying
(3y)(3y) + -1(2)(2) = 16

Remove parenthesis around (3y)
3y(3y) + -1(2)(2) = 16

Remove parenthesis around (3y)
3y * 3y + -1(2)(2) = 16

Reorder the terms for easier multiplication:
3 * 3y * y + -1(2)(2) = 16

Multiply 3 * 3
9y * y + -1(2)(2) = 16

Multiply y * y
9y2 + -1(2)(2) = 16

Multiply -1 * 2
9y2 + -2 * 2 = 16

Multiply -2 * 2
9y2 + -4 = 16

Reorder the terms:
-4 + 9y2 = 16

Solving
-4 + 9y2 = 16

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 9y2 = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 9y2 = 16 + 4
9y2 = 16 + 4

Combine like terms: 16 + 4 = 20
9y2 = 20

Divide each side by '9'.
y2 = 2.222222222

Simplifying
y2 = 2.222222222

Take the square root of each side:
y = {-1.490711985, 1.490711985}