2y^2+y^2-80=0

Solution for 2y^2+y^2-80=0 equation:

Simplifying
2y2 + y2 + -80 = 0

Reorder the terms:
-80 + 2y2 + y2 = 0

Combine like terms: 2y2 + y2 = 3y2
-80 + 3y2 = 0

Solving
-80 + 3y2 = 0

Solving for variable 'y'.

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

Add '80' to each side of the equation.
-80 + 80 + 3y2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 3y2 = 0 + 80
3y2 = 0 + 80

Combine like terms: 0 + 80 = 80
3y2 = 80

Divide each side by '3'.
y2 = 26.66666667

Simplifying
y2 = 26.66666667

Take the square root of each side:
y = {-5.163977795, 5.163977795}