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

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


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

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

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

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

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

Reorder the terms:
-2 + 2y = -9y + -1[-2 + -8 + -4y] + 2

Combine like terms: -2 + -8 = -10
-2 + 2y = -9y + -1[-10 + -4y] + 2
-2 + 2y = -9y + [-10 * -1 + -4y * -1] + 2
-2 + 2y = -9y + [10 + 4y] + 2

Reorder the terms:
-2 + 2y = 10 + 2 + -9y + 4y

Combine like terms: 10 + 2 = 12
-2 + 2y = 12 + -9y + 4y

Combine like terms: -9y + 4y = -5y
-2 + 2y = 12 + -5y

Solving
-2 + 2y = 12 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-2 + 2y + 5y = 12 + -5y + 5y

Combine like terms: 2y + 5y = 7y
-2 + 7y = 12 + -5y + 5y

Combine like terms: -5y + 5y = 0
-2 + 7y = 12 + 0
-2 + 7y = 12

Add '2' to each side of the equation.
-2 + 2 + 7y = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 7y = 12 + 2
7y = 12 + 2

Combine like terms: 12 + 2 = 14
7y = 14

Divide each side by '7'.
y = 2

Simplifying
y = 2

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