5y-[-(2-3y)+4]=-9[-(2+4y)-8]+2

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Solution for 5y-[-(2-3y)+4]=-9[-(2+4y)-8]+2 equation: 


Simplifying
5y + -1[-1(2 + -3y) + 4] = -9[-1(2 + 4y) + -8] + 2
5y + -1[(2 * -1 + -3y * -1) + 4] = -9[-1(2 + 4y) + -8] + 2
5y + -1[(-2 + 3y) + 4] = -9[-1(2 + 4y) + -8] + 2

Reorder the terms:
5y + -1[-2 + 4 + 3y] = -9[-1(2 + 4y) + -8] + 2

Combine like terms: -2 + 4 = 2
5y + -1[2 + 3y] = -9[-1(2 + 4y) + -8] + 2
5y + [2 * -1 + 3y * -1] = -9[-1(2 + 4y) + -8] + 2
5y + [-2 + -3y] = -9[-1(2 + 4y) + -8] + 2

Reorder the terms:
-2 + 5y + -3y = -9[-1(2 + 4y) + -8] + 2

Combine like terms: 5y + -3y = 2y
-2 + 2y = -9[-1(2 + 4y) + -8] + 2
-2 + 2y = -9[(2 * -1 + 4y * -1) + -8] + 2
-2 + 2y = -9[(-2 + -4y) + -8] + 2

Reorder the terms:
-2 + 2y = -9[-2 + -8 + -4y] + 2

Combine like terms: -2 + -8 = -10
-2 + 2y = -9[-10 + -4y] + 2
-2 + 2y = [-10 * -9 + -4y * -9] + 2
-2 + 2y = [90 + 36y] + 2

Reorder the terms:
-2 + 2y = 90 + 2 + 36y

Combine like terms: 90 + 2 = 92
-2 + 2y = 92 + 36y

Solving
-2 + 2y = 92 + 36y

Solving for variable 'y'.

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

Add '-36y' to each side of the equation.
-2 + 2y + -36y = 92 + 36y + -36y

Combine like terms: 2y + -36y = -34y
-2 + -34y = 92 + 36y + -36y

Combine like terms: 36y + -36y = 0
-2 + -34y = 92 + 0
-2 + -34y = 92

Add '2' to each side of the equation.
-2 + 2 + -34y = 92 + 2

Combine like terms: -2 + 2 = 0
0 + -34y = 92 + 2
-34y = 92 + 2

Combine like terms: 92 + 2 = 94
-34y = 94

Divide each side by '-34'.
y = -2.764705882

Simplifying
y = -2.764705882

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