(21y^2-6)+(4y^2-8)-(3-11y^2)=

Solution for (21y^2-6)+(4y^2-8)-(3-11y^2)= equation:

Simplifying
(21y2 + -6) + (4y2 + -8) + -1(3 + -11y2) = 0

Reorder the terms:
(-6 + 21y2) + (4y2 + -8) + -1(3 + -11y2) = 0

Remove parenthesis around (-6 + 21y2)
-6 + 21y2 + (4y2 + -8) + -1(3 + -11y2) = 0

Reorder the terms:
-6 + 21y2 + (-8 + 4y2) + -1(3 + -11y2) = 0

Remove parenthesis around (-8 + 4y2)
-6 + 21y2 + -8 + 4y2 + -1(3 + -11y2) = 0
-6 + 21y2 + -8 + 4y2 + (3 * -1 + -11y2 * -1) = 0
-6 + 21y2 + -8 + 4y2 + (-3 + 11y2) = 0

Reorder the terms:
-6 + -8 + -3 + 21y2 + 4y2 + 11y2 = 0

Combine like terms: -6 + -8 = -14
-14 + -3 + 21y2 + 4y2 + 11y2 = 0

Combine like terms: -14 + -3 = -17
-17 + 21y2 + 4y2 + 11y2 = 0

Combine like terms: 21y2 + 4y2 = 25y2
-17 + 25y2 + 11y2 = 0

Combine like terms: 25y2 + 11y2 = 36y2
-17 + 36y2 = 0

Solving
-17 + 36y2 = 0

Solving for variable 'y'.

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

Add '17' to each side of the equation.
-17 + 17 + 36y2 = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 36y2 = 0 + 17
36y2 = 0 + 17

Combine like terms: 0 + 17 = 17
36y2 = 17

Divide each side by '36'.
y2 = 0.4722222222

Simplifying
y2 = 0.4722222222

Take the square root of each side:
y = {-0.687184271, 0.687184271}