5y^2-3=33

Solution for 5y^2-3=33 equation:

Simplifying
5y2 + -3 = 33

Reorder the terms:
-3 + 5y2 = 33

Solving
-3 + 5y2 = 33

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 5y2 = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 5y2 = 33 + 3
5y2 = 33 + 3

Combine like terms: 33 + 3 = 36
5y2 = 36

Divide each side by '5'.
y2 = 7.2

Simplifying
y2 = 7.2

Take the square root of each side:
y = {-2.683281573, 2.683281573}