# How do you solve 4x + 2y = 10 for y?

Mar 22, 2018

y = 5-2x

#### Explanation:

Start by moving everything to the right side of the equation so that the term with Y is by itself.

4x + 2y = 10

Subtract 4x from both sides to get:

2y = 10 - 4x

Next, we need to get Y by itself. We can do this by dividing by two. Remember that what we do to one side we have to do to the other.

$\frac{2 y}{2} = \frac{10}{2} - \frac{4 x}{2}$

y = 5 - 2x

Mar 22, 2018

Rearrange the equation to get y on one side.

#### Explanation:

Remember that an equation will remain equal if you do the same thing on both sides. If you subtract both sides by $4 x$ you will get
$4 x + 2 y = 10 \rightarrow 2 y = 10 - 4 x$

Then divide both sides by 2 and you get y on the left hand side

$2 y = 10 - 4 x \rightarrow y = \frac{10 - 4 x}{2}$
Note that this can be simplified to $y = 5 - 2 x$

If the value of x is known you can find the value of y using this equation.