(-3y^2+4y-2)-(-5y^2-3y-8)+(-2y^2+7y+3)=

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Solution for (-3y^2+4y-2)-(-5y^2-3y-8)+(-2y^2+7y+3)= equation: 


Simplifying
(-3y2 + 4y + -2) + -1(-5y2 + -3y + -8) + (-2y2 + 7y + 3) = 0

Reorder the terms:
(-2 + 4y + -3y2) + -1(-5y2 + -3y + -8) + (-2y2 + 7y + 3) = 0

Remove parenthesis around (-2 + 4y + -3y2)
-2 + 4y + -3y2 + -1(-5y2 + -3y + -8) + (-2y2 + 7y + 3) = 0

Reorder the terms:
-2 + 4y + -3y2 + -1(-8 + -3y + -5y2) + (-2y2 + 7y + 3) = 0
-2 + 4y + -3y2 + (-8 * -1 + -3y * -1 + -5y2 * -1) + (-2y2 + 7y + 3) = 0
-2 + 4y + -3y2 + (8 + 3y + 5y2) + (-2y2 + 7y + 3) = 0

Reorder the terms:
-2 + 4y + -3y2 + 8 + 3y + 5y2 + (3 + 7y + -2y2) = 0

Remove parenthesis around (3 + 7y + -2y2)
-2 + 4y + -3y2 + 8 + 3y + 5y2 + 3 + 7y + -2y2 = 0

Reorder the terms:
-2 + 8 + 3 + 4y + 3y + 7y + -3y2 + 5y2 + -2y2 = 0

Combine like terms: -2 + 8 = 6
6 + 3 + 4y + 3y + 7y + -3y2 + 5y2 + -2y2 = 0

Combine like terms: 6 + 3 = 9
9 + 4y + 3y + 7y + -3y2 + 5y2 + -2y2 = 0

Combine like terms: 4y + 3y = 7y
9 + 7y + 7y + -3y2 + 5y2 + -2y2 = 0

Combine like terms: 7y + 7y = 14y
9 + 14y + -3y2 + 5y2 + -2y2 = 0

Combine like terms: -3y2 + 5y2 = 2y2
9 + 14y + 2y2 + -2y2 = 0

Combine like terms: 2y2 + -2y2 = 0
9 + 14y + 0 = 0
9 + 14y = 0

Solving
9 + 14y = 0

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 14y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 14y = 0 + -9
14y = 0 + -9

Combine like terms: 0 + -9 = -9
14y = -9

Divide each side by '14'.
y = -0.6428571429

Simplifying
y = -0.6428571429

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