6+b=4(b-6)+6v

Solution for 6+b=4(b-6)+6v equation:

Simplifying
6 + b = 4(b + -6) + 6v

Reorder the terms:
6 + b = 4(-6 + b) + 6v
6 + b = (-6 * 4 + b * 4) + 6v
6 + b = (-24 + 4b) + 6v

Solving
6 + b = -24 + 4b + 6v

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
6 + b + -4b = -24 + 4b + -4b + 6v

Combine like terms: b + -4b = -3b
6 + -3b = -24 + 4b + -4b + 6v

Combine like terms: 4b + -4b = 0
6 + -3b = -24 + 0 + 6v
6 + -3b = -24 + 6v

Add '-6' to each side of the equation.
6 + -6 + -3b = -24 + -6 + 6v

Combine like terms: 6 + -6 = 0
0 + -3b = -24 + -6 + 6v
-3b = -24 + -6 + 6v

Combine like terms: -24 + -6 = -30
-3b = -30 + 6v

Divide each side by '-3'.
b = 10 + -2v

Simplifying
b = 10 + -2v