6y^2+6(3y^2-5)=

Solution for 6y^2+6(3y^2-5)= equation:

Simplifying
6y2 + 6(3y2 + -5) = 0

Reorder the terms:
6y2 + 6(-5 + 3y2) = 0
6y2 + (-5 * 6 + 3y2 * 6) = 0
6y2 + (-30 + 18y2) = 0

Reorder the terms:
-30 + 6y2 + 18y2 = 0

Combine like terms: 6y2 + 18y2 = 24y2
-30 + 24y2 = 0

Solving
-30 + 24y2 = 0

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + 24y2 = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 24y2 = 0 + 30
24y2 = 0 + 30

Combine like terms: 0 + 30 = 30
24y2 = 30

Divide each side by '24'.
y2 = 1.25

Simplifying
y2 = 1.25

Take the square root of each side:
y = {-1.118033989, 1.118033989}