(5y^2-9y+6)-(8y^2-9y+7)=

Solution for (5y^2-9y+6)-(8y^2-9y+7)= equation:

Simplifying
(5y2 + -9y + 6) + -1(8y2 + -9y + 7) = 0

Reorder the terms:
(6 + -9y + 5y2) + -1(8y2 + -9y + 7) = 0

Remove parenthesis around (6 + -9y + 5y2)
6 + -9y + 5y2 + -1(8y2 + -9y + 7) = 0

Reorder the terms:
6 + -9y + 5y2 + -1(7 + -9y + 8y2) = 0
6 + -9y + 5y2 + (7 * -1 + -9y * -1 + 8y2 * -1) = 0
6 + -9y + 5y2 + (-7 + 9y + -8y2) = 0

Reorder the terms:
6 + -7 + -9y + 9y + 5y2 + -8y2 = 0

Combine like terms: 6 + -7 = -1
-1 + -9y + 9y + 5y2 + -8y2 = 0

Combine like terms: -9y + 9y = 0
-1 + 0 + 5y2 + -8y2 = 0
-1 + 5y2 + -8y2 = 0

Combine like terms: 5y2 + -8y2 = -3y2
-1 + -3y2 = 0

Solving
-1 + -3y2 = 0

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + -3y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3y2 = 0 + 1
-3y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3y2 = 1

Divide each side by '-3'.
y2 = -0.3333333333

Simplifying
y2 = -0.3333333333

Reorder the terms:
0.3333333333 + y2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + y2 = 0.0000000000

The solution to this equation could not be determined.