4y^2-[-3y-(19y^2-4y)]-[5+(-9y-5)]=0

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Solution for 4y^2-[-3y-(19y^2-4y)]-[5+(-9y-5)]=0 equation: 


Simplifying
4y2 + -1[-3y + -1(19y2 + -4y)] + -1[5 + (-9y + -5)] = 0

Reorder the terms:
4y2 + -1[-3y + -1(-4y + 19y2)] + -1[5 + (-9y + -5)] = 0
4y2 + -1[-3y + (-4y * -1 + 19y2 * -1)] + -1[5 + (-9y + -5)] = 0
4y2 + -1[-3y + (4y + -19y2)] + -1[5 + (-9y + -5)] = 0

Combine like terms: -3y + 4y = 1y
4y2 + -1[1y + -19y2] + -1[5 + (-9y + -5)] = 0
4y2 + [1y * -1 + -19y2 * -1] + -1[5 + (-9y + -5)] = 0
4y2 + [-1y + 19y2] + -1[5 + (-9y + -5)] = 0

Reorder the terms:
4y2 + -1y + 19y2 + -1[5 + (-5 + -9y)] = 0

Remove parenthesis around (-5 + -9y)
4y2 + -1y + 19y2 + -1[5 + -5 + -9y] = 0

Combine like terms: 5 + -5 = 0
4y2 + -1y + 19y2 + -1[0 + -9y] = 0
4y2 + -1y + 19y2 + -1[-9y] = 0

Remove brackets around [-9y]
4y2 + -1y + 19y2 + -1 * -9y = 0

Multiply -1 * -9
4y2 + -1y + 19y2 + 9y = 0

Reorder the terms:
-1y + 9y + 4y2 + 19y2 = 0

Combine like terms: -1y + 9y = 8y
8y + 4y2 + 19y2 = 0

Combine like terms: 4y2 + 19y2 = 23y2
8y + 23y2 = 0

Solving
8y + 23y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(8 + 23y) = 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 '(8 + 23y)' equal to zero and attempt to solve:

Simplifying
8 + 23y = 0

Solving
8 + 23y = 0

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

Add '-8' to each side of the equation.
8 + -8 + 23y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 23y = 0 + -8
23y = 0 + -8

Combine like terms: 0 + -8 = -8
23y = -8

Divide each side by '23'.
y = -0.347826087

Simplifying
y = -0.347826087
Solution
y = {0, -0.347826087}

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