-3y^2-[2y-(13y^2-5y)]-[-9+(-14y+9)]=0

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Solution for -3y^2-[2y-(13y^2-5y)]-[-9+(-14y+9)]=0 equation: 


Simplifying
-3y2 + -1[2y + -1(13y2 + -5y)] + -1[-9 + (-14y + 9)] = 0

Reorder the terms:
-3y2 + -1[2y + -1(-5y + 13y2)] + -1[-9 + (-14y + 9)] = 0
-3y2 + -1[2y + (-5y * -1 + 13y2 * -1)] + -1[-9 + (-14y + 9)] = 0
-3y2 + -1[2y + (5y + -13y2)] + -1[-9 + (-14y + 9)] = 0

Combine like terms: 2y + 5y = 7y
-3y2 + -1[7y + -13y2] + -1[-9 + (-14y + 9)] = 0
-3y2 + [7y * -1 + -13y2 * -1] + -1[-9 + (-14y + 9)] = 0
-3y2 + [-7y + 13y2] + -1[-9 + (-14y + 9)] = 0

Reorder the terms:
-3y2 + -7y + 13y2 + -1[-9 + (9 + -14y)] = 0

Remove parenthesis around (9 + -14y)
-3y2 + -7y + 13y2 + -1[-9 + 9 + -14y] = 0

Combine like terms: -9 + 9 = 0
-3y2 + -7y + 13y2 + -1[0 + -14y] = 0
-3y2 + -7y + 13y2 + -1[-14y] = 0

Remove brackets around [-14y]
-3y2 + -7y + 13y2 + -1 * -14y = 0

Multiply -1 * -14
-3y2 + -7y + 13y2 + 14y = 0

Reorder the terms:
-7y + 14y + -3y2 + 13y2 = 0

Combine like terms: -7y + 14y = 7y
7y + -3y2 + 13y2 = 0

Combine like terms: -3y2 + 13y2 = 10y2
7y + 10y2 = 0

Solving
7y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(7 + 10y) = 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 '(7 + 10y)' equal to zero and attempt to solve:

Simplifying
7 + 10y = 0

Solving
7 + 10y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 10y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10y = 0 + -7
10y = 0 + -7

Combine like terms: 0 + -7 = -7
10y = -7

Divide each side by '10'.
y = -0.7

Simplifying
y = -0.7
Solution
y = {0, -0.7}

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