3y^2-48=6

Solution for 3y^2-48=6 equation:

Simplifying
3y2 + -48 = 6

Reorder the terms:
-48 + 3y2 = 6

Solving
-48 + 3y2 = 6

Solving for variable 'y'.

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

Add '48' to each side of the equation.
-48 + 48 + 3y2 = 6 + 48

Combine like terms: -48 + 48 = 0
0 + 3y2 = 6 + 48
3y2 = 6 + 48

Combine like terms: 6 + 48 = 54
3y2 = 54

Divide each side by '3'.
y2 = 18

Simplifying
y2 = 18

Take the square root of each side:
y = {-4.242640687, 4.242640687}