As with other equations and inequations, when working with algebraic equations and inequations it is key to change operation when you change side.

Part of

Remember when solving equations and inequations to use the rule:

**Change side, change operation**

Look at the National 4 solving equations section before continuing.

Solve the equation \(- 2 - 3y = 11\)

\[- 2 - 3y = 11\]

\[- 3y = 11 + 2\]

Move the -2 over to the right hand side changes it to +2

-3 is multiplying on the left, so when moved to the right it divides

\[- 3y = 13\]

\[y = \frac{{13}}{{ - 3}}\,or\,y = - 4\frac{1}{3}\]

Now try the question below.

- Question
Solve the equation \(35 = 5 - 6m\) to find m.

\[35 = 5 - 6m\]

Move the -6m over to the left hand side, changing it to +6m.

\[35 + 6m = 5\]

Move the +35 to become -35

\[6m = 5 - 35\]

\[6m = -30\]

The 6 is multiplying on the left so now divide

\[m = \frac{{ - 30}}{6} = \frac{{ - 5}}{1} = - 5\]