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

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

Simplifying
(6y2 + -9y + 2) + -1(4y2 + -9y + 4) = 0

Reorder the terms:
(2 + -9y + 6y2) + -1(4y2 + -9y + 4) = 0

Remove parenthesis around (2 + -9y + 6y2)
2 + -9y + 6y2 + -1(4y2 + -9y + 4) = 0

Reorder the terms:
2 + -9y + 6y2 + -1(4 + -9y + 4y2) = 0
2 + -9y + 6y2 + (4 * -1 + -9y * -1 + 4y2 * -1) = 0
2 + -9y + 6y2 + (-4 + 9y + -4y2) = 0

Reorder the terms:
2 + -4 + -9y + 9y + 6y2 + -4y2 = 0

Combine like terms: 2 + -4 = -2
-2 + -9y + 9y + 6y2 + -4y2 = 0

Combine like terms: -9y + 9y = 0
-2 + 0 + 6y2 + -4y2 = 0
-2 + 6y2 + -4y2 = 0

Combine like terms: 6y2 + -4y2 = 2y2
-2 + 2y2 = 0

Solving
-2 + 2y2 = 0

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 2y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2y2 = 0 + 2
2y2 = 0 + 2

Combine like terms: 0 + 2 = 2
2y2 = 2

Divide each side by '2'.
y2 = 1

Simplifying
y2 = 1

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