3y^2-7-6=0

Solution for 3y^2-7-6=0 equation:

Simplifying
3y2 + -7 + -6 = 0

Reorder the terms:
-7 + -6 + 3y2 = 0

Combine like terms: -7 + -6 = -13
-13 + 3y2 = 0

Solving
-13 + 3y2 = 0

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 3y2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3y2 = 0 + 13
3y2 = 0 + 13

Combine like terms: 0 + 13 = 13
3y2 = 13

Divide each side by '3'.
y2 = 4.333333333

Simplifying
y2 = 4.333333333

Take the square root of each side:
y = {-2.081665999, 2.081665999}