6y^2-6=43

Solution for 6y^2-6=43 equation:

Simplifying
6y2 + -6 = 43

Reorder the terms:
-6 + 6y2 = 43

Solving
-6 + 6y2 = 43

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 + 6y2 = 43 + 6

Combine like terms: -6 + 6 = 0
0 + 6y2 = 43 + 6
6y2 = 43 + 6

Combine like terms: 43 + 6 = 49
6y2 = 49

Divide each side by '6'.
y2 = 8.166666667

Simplifying
y2 = 8.166666667

Take the square root of each side:
y = {-2.857738033, 2.857738033}