3(4)-5y^2=-33

Solution for 3(4)-5y^2=-33 equation:

Simplifying
3(4) + -5y2 = -33

Multiply 3 * 4
12 + -5y2 = -33

Solving
12 + -5y2 = -33

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -5y2 = -33 + -12

Combine like terms: 12 + -12 = 0
0 + -5y2 = -33 + -12
-5y2 = -33 + -12

Combine like terms: -33 + -12 = -45
-5y2 = -45

Divide each side by '-5'.
y2 = 9

Simplifying
y2 = 9

Take the square root of each side:
y = {-3, 3}