y^2-6=13-12y^2

Solution for y^2-6=13-12y^2 equation:

Simplifying
y2 + -6 = 13 + -12y2

Reorder the terms:
-6 + y2 = 13 + -12y2

Solving
-6 + y2 = 13 + -12y2

Solving for variable 'y'.

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

Add '12y2' to each side of the equation.
-6 + y2 + 12y2 = 13 + -12y2 + 12y2

Combine like terms: y2 + 12y2 = 13y2
-6 + 13y2 = 13 + -12y2 + 12y2

Combine like terms: -12y2 + 12y2 = 0
-6 + 13y2 = 13 + 0
-6 + 13y2 = 13

Add '6' to each side of the equation.
-6 + 6 + 13y2 = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 13y2 = 13 + 6
13y2 = 13 + 6

Combine like terms: 13 + 6 = 19
13y2 = 19

Divide each side by '13'.
y2 = 1.461538462

Simplifying
y2 = 1.461538462

Take the square root of each side:
y = {-1.20894105, 1.20894105}