12y^2-7+1=0

Solution for 12y^2-7+1=0 equation:

Simplifying
12y2 + -7 + 1 = 0

Reorder the terms:
-7 + 1 + 12y2 = 0

Combine like terms: -7 + 1 = -6
-6 + 12y2 = 0

Solving
-6 + 12y2 = 0

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 12y2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 12y2 = 0 + 6
12y2 = 0 + 6

Combine like terms: 0 + 6 = 6
12y2 = 6

Divide each side by '12'.
y2 = 0.5

Simplifying
y2 = 0.5

Take the square root of each side:
y = {-0.707106781, 0.707106781}