# How do you solve -6y - 3 = 3 - 6y?

Jun 1, 2017

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{6 y}$ to each side of the equation:

$\textcolor{red}{6 y} - 6 y - 3 = 3 - 6 y + \textcolor{red}{6 y}$

$0 - 3 = 3 - 0$

$- 3 \ne 3$

Because $- 3$ is not equal to $3$ there is no solution to this equation. Or, the solution is the empty or null set: $\left\{\emptyset\right\}$

Jun 1, 2017

There is no solution to this equation and therefore

$x$ has no value.

#### Explanation:

Re-arrange the equation with all the variables on one side and the numbers on the other side:

$- 6 y - 3 = 3 - 6 y$

$- 6 y + 6 y = 3 + 3$

" "0 = 6" "larr?????????

We have ended up with a statement that is obviously false and there is no variable.

This is an indication that the equation cannot be solved and there is no solution.

$x$ has no value.