(3y^2-2y-1)-(-5y^2-2y+6)=

Solution for (3y^2-2y-1)-(-5y^2-2y+6)= equation:

Simplifying
(3y2 + -2y + -1) + -1(-5y2 + -2y + 6) = 0

Reorder the terms:
(-1 + -2y + 3y2) + -1(-5y2 + -2y + 6) = 0

Remove parenthesis around (-1 + -2y + 3y2)
-1 + -2y + 3y2 + -1(-5y2 + -2y + 6) = 0

Reorder the terms:
-1 + -2y + 3y2 + -1(6 + -2y + -5y2) = 0
-1 + -2y + 3y2 + (6 * -1 + -2y * -1 + -5y2 * -1) = 0
-1 + -2y + 3y2 + (-6 + 2y + 5y2) = 0

Reorder the terms:
-1 + -6 + -2y + 2y + 3y2 + 5y2 = 0

Combine like terms: -1 + -6 = -7
-7 + -2y + 2y + 3y2 + 5y2 = 0

Combine like terms: -2y + 2y = 0
-7 + 0 + 3y2 + 5y2 = 0
-7 + 3y2 + 5y2 = 0

Combine like terms: 3y2 + 5y2 = 8y2
-7 + 8y2 = 0

Solving
-7 + 8y2 = 0

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 8y2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 8y2 = 0 + 7
8y2 = 0 + 7

Combine like terms: 0 + 7 = 7
8y2 = 7

Divide each side by '8'.
y2 = 0.875

Simplifying
y2 = 0.875

Take the square root of each side:
y = {-0.935414347, 0.935414347}