6b+2(b-3)=42

Solution for 6b+2(b-3)=42 equation:

Simplifying
6b + 2(b + -3) = 42

Reorder the terms:
6b + 2(-3 + b) = 42
6b + (-3 * 2 + b * 2) = 42
6b + (-6 + 2b) = 42

Reorder the terms:
-6 + 6b + 2b = 42

Combine like terms: 6b + 2b = 8b
-6 + 8b = 42

Solving
-6 + 8b = 42

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 8b = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 8b = 42 + 6
8b = 42 + 6

Combine like terms: 42 + 6 = 48
8b = 48

Divide each side by '8'.
b = 6

Simplifying
b = 6