3b-6+6b=43+2b

Solution for 3b-6+6b=43+2b equation:

Simplifying
3b + -6 + 6b = 43 + 2b

Reorder the terms:
-6 + 3b + 6b = 43 + 2b

Combine like terms: 3b + 6b = 9b
-6 + 9b = 43 + 2b

Solving
-6 + 9b = 43 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
-6 + 9b + -2b = 43 + 2b + -2b

Combine like terms: 9b + -2b = 7b
-6 + 7b = 43 + 2b + -2b

Combine like terms: 2b + -2b = 0
-6 + 7b = 43 + 0
-6 + 7b = 43

Add '6' to each side of the equation.
-6 + 6 + 7b = 43 + 6

Combine like terms: -6 + 6 = 0
0 + 7b = 43 + 6
7b = 43 + 6

Combine like terms: 43 + 6 = 49
7b = 49

Divide each side by '7'.
b = 7

Simplifying
b = 7