12y^2-27+3(2y^2-3)=

Solution for 12y^2-27+3(2y^2-3)= equation:

Simplifying
12y2 + -27 + 3(2y2 + -3) = 0

Reorder the terms:
12y2 + -27 + 3(-3 + 2y2) = 0
12y2 + -27 + (-3 * 3 + 2y2 * 3) = 0
12y2 + -27 + (-9 + 6y2) = 0

Reorder the terms:
-27 + -9 + 12y2 + 6y2 = 0

Combine like terms: -27 + -9 = -36
-36 + 12y2 + 6y2 = 0

Combine like terms: 12y2 + 6y2 = 18y2
-36 + 18y2 = 0

Solving
-36 + 18y2 = 0

Solving for variable 'y'.

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

Add '36' to each side of the equation.
-36 + 36 + 18y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 18y2 = 0 + 36
18y2 = 0 + 36

Combine like terms: 0 + 36 = 36
18y2 = 36

Divide each side by '18'.
y2 = 2

Simplifying
y2 = 2

Take the square root of each side:
y = {-1.414213562, 1.414213562}