3y^2+6=42

Solution for 3y^2+6=42 equation:

Simplifying
3y2 + 6 = 42

Reorder the terms:
6 + 3y2 = 42

Solving
6 + 3y2 = 42

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 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 3y2 = 42 + -6
3y2 = 42 + -6

Combine like terms: 42 + -6 = 36
3y2 = 36

Divide each side by '3'.
y2 = 12

Simplifying
y2 = 12

Take the square root of each side:
y = {-3.464101615, 3.464101615}