(9y^2-4y+6)-(5y^2-4y+6)=

Solution for (9y^2-4y+6)-(5y^2-4y+6)= equation:

Simplifying
(9y2 + -4y + 6) + -1(5y2 + -4y + 6) = 0

Reorder the terms:
(6 + -4y + 9y2) + -1(5y2 + -4y + 6) = 0

Remove parenthesis around (6 + -4y + 9y2)
6 + -4y + 9y2 + -1(5y2 + -4y + 6) = 0

Reorder the terms:
6 + -4y + 9y2 + -1(6 + -4y + 5y2) = 0
6 + -4y + 9y2 + (6 * -1 + -4y * -1 + 5y2 * -1) = 0
6 + -4y + 9y2 + (-6 + 4y + -5y2) = 0

Reorder the terms:
6 + -6 + -4y + 4y + 9y2 + -5y2 = 0

Combine like terms: 6 + -6 = 0
0 + -4y + 4y + 9y2 + -5y2 = 0
-4y + 4y + 9y2 + -5y2 = 0

Combine like terms: -4y + 4y = 0
0 + 9y2 + -5y2 = 0
9y2 + -5y2 = 0

Combine like terms: 9y2 + -5y2 = 4y2
4y2 = 0

Solving
4y2 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
y2 = 0

Simplifying
y2 = 0

Take the square root of each side:
y = {0}