(x+2y-6z)-[3y-(bx-6y)+6y]=

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Solution for (x+2y-6z)-[3y-(bx-6y)+6y]= equation: 


Simplifying
(x + 2y + -6z) + -1[3y + -1(bx + -6y) + 6y] = 0

Remove parenthesis around (x + 2y + -6z)
x + 2y + -6z + -1[3y + -1(bx + -6y) + 6y] = 0
x + 2y + -6z + -1[3y + (bx * -1 + -6y * -1) + 6y] = 0
x + 2y + -6z + -1[3y + (-1bx + 6y) + 6y] = 0

Reorder the terms:
x + 2y + -6z + -1[-1bx + 3y + 6y + 6y] = 0

Combine like terms: 3y + 6y = 9y
x + 2y + -6z + -1[-1bx + 9y + 6y] = 0

Combine like terms: 9y + 6y = 15y
x + 2y + -6z + -1[-1bx + 15y] = 0
x + 2y + -6z + [-1bx * -1 + 15y * -1] = 0
x + 2y + -6z + [1bx + -15y] = 0

Reorder the terms:
1bx + x + 2y + -15y + -6z = 0

Combine like terms: 2y + -15y = -13y
1bx + x + -13y + -6z = 0

Solving
1bx + x + -13y + -6z = 0

Solving for variable 'b'.

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

Add '-1x' to each side of the equation.
1bx + x + -13y + -1x + -6z = 0 + -1x

Reorder the terms:
1bx + x + -1x + -13y + -6z = 0 + -1x

Combine like terms: x + -1x = 0
1bx + 0 + -13y + -6z = 0 + -1x
1bx + -13y + -6z = 0 + -1x
Remove the zero:
1bx + -13y + -6z = -1x

Add '13y' to each side of the equation.
1bx + -13y + 13y + -6z = -1x + 13y

Combine like terms: -13y + 13y = 0
1bx + 0 + -6z = -1x + 13y
1bx + -6z = -1x + 13y

Add '6z' to each side of the equation.
1bx + -6z + 6z = -1x + 13y + 6z

Combine like terms: -6z + 6z = 0
1bx + 0 = -1x + 13y + 6z
1bx = -1x + 13y + 6z

Divide each side by '1x'.
b = -1 + 13x-1y + 6x-1z

Simplifying
b = -1 + 13x-1y + 6x-1z

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