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

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


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

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

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

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

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

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

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

Combine like terms: -7 + -4 = -11
-11 + -5 + -3y + -3y + 4y + -4y2 + 2y2 + 2y2 = 0

Combine like terms: -11 + -5 = -16
-16 + -3y + -3y + 4y + -4y2 + 2y2 + 2y2 = 0

Combine like terms: -3y + -3y = -6y
-16 + -6y + 4y + -4y2 + 2y2 + 2y2 = 0

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

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

Combine like terms: -2y2 + 2y2 = 0
-16 + -2y + 0 = 0
-16 + -2y = 0

Solving
-16 + -2y = 0

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + -2y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -2y = 0 + 16
-2y = 0 + 16

Combine like terms: 0 + 16 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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