13y^2+33=16y^2

Solution for 13y^2+33=16y^2 equation:

Simplifying
13y2 + 33 = 16y2

Reorder the terms:
33 + 13y2 = 16y2

Solving
33 + 13y2 = 16y2

Solving for variable 'y'.

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

Add '-16y2' to each side of the equation.
33 + 13y2 + -16y2 = 16y2 + -16y2

Combine like terms: 13y2 + -16y2 = -3y2
33 + -3y2 = 16y2 + -16y2

Combine like terms: 16y2 + -16y2 = 0
33 + -3y2 = 0

Add '-33' to each side of the equation.
33 + -33 + -3y2 = 0 + -33

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

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

Divide each side by '-3'.
y2 = 11

Simplifying
y2 = 11

Take the square root of each side:
y = {-3.31662479, 3.31662479}