9y(3y)-4=32

Solution for 9y(3y)-4=32 equation:

Simplifying
9y(3y) + -4 = 32

Remove parenthesis around (3y)
9y * 3y + -4 = 32

Reorder the terms for easier multiplication:
9 * 3y * y + -4 = 32

Multiply 9 * 3
27y * y + -4 = 32

Multiply y * y
27y2 + -4 = 32

Reorder the terms:
-4 + 27y2 = 32

Solving
-4 + 27y2 = 32

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 + 27y2 = 32 + 4

Combine like terms: -4 + 4 = 0
0 + 27y2 = 32 + 4
27y2 = 32 + 4

Combine like terms: 32 + 4 = 36
27y2 = 36

Divide each side by '27'.
y2 = 1.333333333

Simplifying
y2 = 1.333333333

Take the square root of each side:
y = {-1.154700538, 1.154700538}