10b+6=4b+42

Solution for 10b+6=4b+42 equation:

Simplifying
10b + 6 = 4b + 42

Reorder the terms:
6 + 10b = 4b + 42

Reorder the terms:
6 + 10b = 42 + 4b

Solving
6 + 10b = 42 + 4b

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 + 10b + -4b = 42 + 4b + -4b

Combine like terms: 10b + -4b = 6b
6 + 6b = 42 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + 6b = 42 + 0
6 + 6b = 42

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

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

Combine like terms: 42 + -6 = 36
6b = 36

Divide each side by '6'.
b = 6

Simplifying
b = 6