3y^2+y^2-1=0

Solution for 3y^2+y^2-1=0 equation:

Simplifying
3y2 + y2 + -1 = 0

Reorder the terms:
-1 + 3y2 + y2 = 0

Combine like terms: 3y2 + y2 = 4y2
-1 + 4y2 = 0

Solving
-1 + 4y2 = 0

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 4y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4y2 = 0 + 1
4y2 = 0 + 1

Combine like terms: 0 + 1 = 1
4y2 = 1

Divide each side by '4'.
y2 = 0.25

Simplifying
y2 = 0.25

Take the square root of each side:
y = {-0.5, 0.5}