5y^2-33+18=0

Solution for 5y^2-33+18=0 equation:

Simplifying
5y2 + -33 + 18 = 0

Reorder the terms:
-33 + 18 + 5y2 = 0

Combine like terms: -33 + 18 = -15
-15 + 5y2 = 0

Solving
-15 + 5y2 = 0

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 5y2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5y2 = 0 + 15
5y2 = 0 + 15

Combine like terms: 0 + 15 = 15
5y2 = 15

Divide each side by '5'.
y2 = 3

Simplifying
y2 = 3

Take the square root of each side:
y = {-1.732050808, 1.732050808}