3y^2-6=58

Solution for 3y^2-6=58 equation:

Simplifying
3y2 + -6 = 58

Reorder the terms:
-6 + 3y2 = 58

Solving
-6 + 3y2 = 58

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 3y2 = 58 + 6

Combine like terms: -6 + 6 = 0
0 + 3y2 = 58 + 6
3y2 = 58 + 6

Combine like terms: 58 + 6 = 64
3y2 = 64

Divide each side by '3'.
y2 = 21.33333333

Simplifying
y2 = 21.33333333

Take the square root of each side:
y = {-4.618802153, 4.618802153}