An equation has an equal sign '=' between its left side and right side. Example: y+7=19

Finding the answer to an equation is called solving the equation.

To solve y+7=19, you need to isolate the variable y by itself on one side of the equation.

For an equation y+7=19, the answer y=12 is the value of the variable y that satisfies the equation.

To satisfy an equation means to make its left side value equal its right side value.

When you check the answer y=12, the left side value of y+7 evaluates as 12+7 = 19.

When you check the right side value of y+7=19, it is already 19 with no evaluation work needed.

The answer y=12 that satisfies the equation y+7=19 can be called the solution or root of the equation.

When solving an equation, you treat both its left side and its right side equally.

For eg: if you subtract 7 from the left side of y+7=19, then you also subtract 7 from the right side.

To solve y+7=19, a complete solution includes the step y+7-7=19-7 before writing the final step y=12.

Notice that to remove +7 from y+7, you use the inverse of addition, namely subtraction.

Similarly, the standard method for solving an equation such as w-8 = 20 to find the value of w

is to use the step w-8+8 = 20+8 before stating the final answer w=28.

Notice that to remove -8 from w-8, you use the inverse of subtracting 8, namely adding 8 to each side.

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