(2y^2-8y-5)-(6y^2+8y-7)+(4y^2-8y+9)=

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Solution for (2y^2-8y-5)-(6y^2+8y-7)+(4y^2-8y+9)= equation: 


Simplifying
(2y2 + -8y + -5) + -1(6y2 + 8y + -7) + (4y2 + -8y + 9) = 0

Reorder the terms:
(-5 + -8y + 2y2) + -1(6y2 + 8y + -7) + (4y2 + -8y + 9) = 0

Remove parenthesis around (-5 + -8y + 2y2)
-5 + -8y + 2y2 + -1(6y2 + 8y + -7) + (4y2 + -8y + 9) = 0

Reorder the terms:
-5 + -8y + 2y2 + -1(-7 + 8y + 6y2) + (4y2 + -8y + 9) = 0
-5 + -8y + 2y2 + (-7 * -1 + 8y * -1 + 6y2 * -1) + (4y2 + -8y + 9) = 0
-5 + -8y + 2y2 + (7 + -8y + -6y2) + (4y2 + -8y + 9) = 0

Reorder the terms:
-5 + -8y + 2y2 + 7 + -8y + -6y2 + (9 + -8y + 4y2) = 0

Remove parenthesis around (9 + -8y + 4y2)
-5 + -8y + 2y2 + 7 + -8y + -6y2 + 9 + -8y + 4y2 = 0

Reorder the terms:
-5 + 7 + 9 + -8y + -8y + -8y + 2y2 + -6y2 + 4y2 = 0

Combine like terms: -5 + 7 = 2
2 + 9 + -8y + -8y + -8y + 2y2 + -6y2 + 4y2 = 0

Combine like terms: 2 + 9 = 11
11 + -8y + -8y + -8y + 2y2 + -6y2 + 4y2 = 0

Combine like terms: -8y + -8y = -16y
11 + -16y + -8y + 2y2 + -6y2 + 4y2 = 0

Combine like terms: -16y + -8y = -24y
11 + -24y + 2y2 + -6y2 + 4y2 = 0

Combine like terms: 2y2 + -6y2 = -4y2
11 + -24y + -4y2 + 4y2 = 0

Combine like terms: -4y2 + 4y2 = 0
11 + -24y + 0 = 0
11 + -24y = 0

Solving
11 + -24y = 0

Solving for variable 'y'.

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

Add '-11' to each side of the equation.
11 + -11 + -24y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -24y = 0 + -11
-24y = 0 + -11

Combine like terms: 0 + -11 = -11
-24y = -11

Divide each side by '-24'.
y = 0.4583333333

Simplifying
y = 0.4583333333

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