**Rules Solving Equations for Y**

An equation is a mathematical statement that asserts the equality of two expressions. Equations consist of the expressions that to be equal on opposite sides of an equal sign. (Source: From Wikipedia).

The following rules are used to solve the equation and the equation does not change: Add or subtract any variable or number to the both sides of the equation. Multiply or divide any variable or number to the both sides of the equation.

Now, we are going to see some of the problems on solving equations for y using the rules.

**Example problem 1:**

Solve the equation for the variable y: **4y + 4 = 20**

**Solution:**

**Step 1:** Subtract 4 on both sides of the equation

4y + 4 - 4 = 20 – 4

*4y* = 16

**Step 2:** Divide by 4 on both sides of the equation

`(4 y) / 4 = 16 / 4`

y = 4

So, y = 4 is the solution of the given equation.

**Example problem 2:**

Find the value of y: **2 y - 8 = 26**

**Solution:**

**Step 1:** Add 8 on both sides of the equation

2*y* - 8 + 8 = 26 + 8

2y = 34

**Step 2:** Divide by 2 on both sides of the equation

`(2y) / 2 = 34 / 2`

y = 17

So, y = 17 is the solution of the given equation.

**Example problem 3:**

Solve the equation for the variable y: **-`(y / 2)` = 1**

**Solution:**

Multiply by -2 on both sides of the equation

- `(y / 2)` * -2 = 1 * -2

y = -2

So, y = -2 is the solution of the given equation.

**Example problem 4:**

Solve the equation for the variable y: **6y = 54**

**Solution:**

6y = 54

Divide by 6 on both sides of the equation

`(6y) / 6 = 54 / 6`

y = 9

**So,** y = 9 is the solution of the given equation.

**1) ** Solve the equation for the variable y: **2y – 8 = 18** (Answer: y = 13).

**2) ** Solve the equation for the variable y: **-(y / 4) = 8** (Answer: y = -32).** **

**3) ** Solve the equation for the variable y: **10y = 65** (Answer: y = 6.5).** **