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

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


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

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

Combine like terms: 5y + -9y = -4y
-7y2 + -1[-4y + -8y2] + -1[-8 + (6y + 8)] = 0
-7y2 + [-4y * -1 + -8y2 * -1] + -1[-8 + (6y + 8)] = 0
-7y2 + [4y + 8y2] + -1[-8 + (6y + 8)] = 0

Reorder the terms:
-7y2 + 4y + 8y2 + -1[-8 + (8 + 6y)] = 0

Remove parenthesis around (8 + 6y)
-7y2 + 4y + 8y2 + -1[-8 + 8 + 6y] = 0

Combine like terms: -8 + 8 = 0
-7y2 + 4y + 8y2 + -1[0 + 6y] = 0
-7y2 + 4y + 8y2 + -1[6y] = 0

Remove brackets around [6y]
-7y2 + 4y + 8y2 + -1 * 6y = 0

Multiply -1 * 6
-7y2 + 4y + 8y2 + -6y = 0

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

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

Combine like terms: -7y2 + 8y2 = 1y2
-2y + 1y2 = 0

Solving
-2y + 1y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-2 + y) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 0

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

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

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

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

Simplifying
y = 2
Solution
y = {0, 2}

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