# `4x + y = 2` Solve each equation for y

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Hello,

When solving for **y** in this problem(**4x+y=2**) we need to get **y** by itself in the equation.

To do this we need to move **4x** over to the right side of the equation. To do this we subtract, **4x** from both sides of the equation.

Key Point to remember: What we do to one side of the equation we have to do the same to the other side of the equation.

So, here are the steps to move **4x** over to the other side of the equation so **y** can be by itself since we are solving for y.

We subtract **4x** from each side of the original equation. This leaves **y** by itself.

4x+y** - 4x =** 2** -4x**

+y = 2 - 4x or **y = 2 - 4x (We have just solved for y. This is our final answer) **

`4x+y=2`

=> `y=2-4x`

=> `y = -4x+2`