*Asking Random Equations !*

When you have to resolve equations your main objective is to, simply isolate variables from constants, using some algebra properties and operations: distributive; adding, subtracting, multiply or divide constants to both sides of the equation.

In this case, we have a simple first order equation

**4y– 3=3y+4**

When we look to this equation, we see terms with a variable and a constant and constants on both sides of the equation. So we will have to pass the variable (or terms with variable and constant) to one side and the constants to the other side

*Normally you pass the variable to your left side of the equation and constants to the right side .*

So in this case we have to bring the term "3y" to the left side and for that we are going to subtract "3y" to both sides of the equation.

Then we got:

**4y – 3y – 3 = 3y – 3y + 4**

**y– 3 = 4**

Now we have "– 3" in the left side that we have to pass to the right side of the equation. For that, we have to "add
"3" to both sides.

**(note : always add if the number or term you want to change side is negative , and subtract if the number or term you want to change side is positive)**

In this case our term **"– 3"** is negative so we have to add
**"3"** in both sides of the equation:

**y –3 +****= 4
+3**

**y=7**

Notes:

A Variable is “x y p q “

A Constant is” numbers”,

A Term is a letter and a number together or only a number or only a letter “4p, 3x, 10q, 55,3 ,100,2 ,p ,q,r,t ,y”

## Comments

The object is to isolate the variables and the constants(numbers)

4y -3 = 3y + 4

4y -3 + 3 = 3y + 4 +3 (add 3 to both sides to isolate the y on the left side)

4y = 3y + 7

4y -3y = 3y - 3y = 7 (subtract 3y from both sides to isolate the y on the right)

1y = 7 (1y =y)