(6y^2+5)+(-3y^2-8)=

Solution for (6y^2+5)+(-3y^2-8)= equation:

Simplifying
(6y2 + 5) + (-3y2 + -8) = 0

Reorder the terms:
(5 + 6y2) + (-3y2 + -8) = 0

Remove parenthesis around (5 + 6y2)
5 + 6y2 + (-3y2 + -8) = 0

Reorder the terms:
5 + 6y2 + (-8 + -3y2) = 0

Remove parenthesis around (-8 + -3y2)
5 + 6y2 + -8 + -3y2 = 0

Reorder the terms:
5 + -8 + 6y2 + -3y2 = 0

Combine like terms: 5 + -8 = -3
-3 + 6y2 + -3y2 = 0

Combine like terms: 6y2 + -3y2 = 3y2
-3 + 3y2 = 0

Solving
-3 + 3y2 = 0

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 3y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3y2 = 0 + 3
3y2 = 0 + 3

Combine like terms: 0 + 3 = 3
3y2 = 3

Divide each side by '3'.
y2 = 1

Simplifying
y2 = 1

Take the square root of each side:
y = {-1, 1}