42-4v=2v+6

Solution for 42-4v=2v+6 equation:

Simplifying
42 + -4v = 2v + 6

Reorder the terms:
42 + -4v = 6 + 2v

Solving
42 + -4v = 6 + 2v

Solving for variable 'v'.

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

Add '-2v' to each side of the equation.
42 + -4v + -2v = 6 + 2v + -2v

Combine like terms: -4v + -2v = -6v
42 + -6v = 6 + 2v + -2v

Combine like terms: 2v + -2v = 0
42 + -6v = 6 + 0
42 + -6v = 6

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

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

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

Divide each side by '-6'.
v = 6

Simplifying
v = 6