3y^2-9+4=0

Solution for 3y^2-9+4=0 equation:

Simplifying
3y2 + -9 + 4 = 0

Reorder the terms:
-9 + 4 + 3y2 = 0

Combine like terms: -9 + 4 = -5
-5 + 3y2 = 0

Solving
-5 + 3y2 = 0

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 3y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3y2 = 0 + 5
3y2 = 0 + 5

Combine like terms: 0 + 5 = 5
3y2 = 5

Divide each side by '3'.
y2 = 1.666666667

Simplifying
y2 = 1.666666667

Take the square root of each side:
y = {-1.290994449, 1.290994449}