(8y^2-7)+(2y^2-6)+(4-3y^2)=

Solution for (8y^2-7)+(2y^2-6)+(4-3y^2)= equation:

Simplifying
(8y2 + -7) + (2y2 + -6) + (4 + -3y2) = 0

Reorder the terms:
(-7 + 8y2) + (2y2 + -6) + (4 + -3y2) = 0

Remove parenthesis around (-7 + 8y2)
-7 + 8y2 + (2y2 + -6) + (4 + -3y2) = 0

Reorder the terms:
-7 + 8y2 + (-6 + 2y2) + (4 + -3y2) = 0

Remove parenthesis around (-6 + 2y2)
-7 + 8y2 + -6 + 2y2 + (4 + -3y2) = 0

Remove parenthesis around (4 + -3y2)
-7 + 8y2 + -6 + 2y2 + 4 + -3y2 = 0

Reorder the terms:
-7 + -6 + 4 + 8y2 + 2y2 + -3y2 = 0

Combine like terms: -7 + -6 = -13
-13 + 4 + 8y2 + 2y2 + -3y2 = 0

Combine like terms: -13 + 4 = -9
-9 + 8y2 + 2y2 + -3y2 = 0

Combine like terms: 8y2 + 2y2 = 10y2
-9 + 10y2 + -3y2 = 0

Combine like terms: 10y2 + -3y2 = 7y2
-9 + 7y2 = 0

Solving
-9 + 7y2 = 0

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 7y2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 7y2 = 0 + 9
7y2 = 0 + 9

Combine like terms: 0 + 9 = 9
7y2 = 9

Divide each side by '7'.
y2 = 1.285714286

Simplifying
y2 = 1.285714286

Take the square root of each side:
y = {-1.133893419, 1.133893419}