3y^2-14+8=0

Solution for 3y^2-14+8=0 equation:

Simplifying
3y2 + -14 + 8 = 0

Reorder the terms:
-14 + 8 + 3y2 = 0

Combine like terms: -14 + 8 = -6
-6 + 3y2 = 0

Solving
-6 + 3y2 = 0

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 = 0 + 6

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

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

Divide each side by '3'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}