(9y^2-3)+(8y^2-7)=

Solution for (9y^2-3)+(8y^2-7)= equation:

Simplifying
(9y2 + -3) + (8y2 + -7) = 0

Reorder the terms:
(-3 + 9y2) + (8y2 + -7) = 0

Remove parenthesis around (-3 + 9y2)
-3 + 9y2 + (8y2 + -7) = 0

Reorder the terms:
-3 + 9y2 + (-7 + 8y2) = 0

Remove parenthesis around (-7 + 8y2)
-3 + 9y2 + -7 + 8y2 = 0

Reorder the terms:
-3 + -7 + 9y2 + 8y2 = 0

Combine like terms: -3 + -7 = -10
-10 + 9y2 + 8y2 = 0

Combine like terms: 9y2 + 8y2 = 17y2
-10 + 17y2 = 0

Solving
-10 + 17y2 = 0

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 17y2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 17y2 = 0 + 10
17y2 = 0 + 10

Combine like terms: 0 + 10 = 10
17y2 = 10

Divide each side by '17'.
y2 = 0.5882352941

Simplifying
y2 = 0.5882352941

Take the square root of each side:
y = {-0.766964989, 0.766964989}