(1/4y+6)-(-1/2y-3)

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Jun 06, 2024

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Simplifying Algebraic Expressions: (1/4y+6)-(-1/2y-3)

In this article, we will simplify the algebraic expression (1/4y+6)-(-1/2y-3). To simplify this expression, we need to follow the order of operations (PEMDAS) and combine like terms.

Step 1: Simplify the expression inside the parentheses

First, let's simplify the expression inside the parentheses:

(1/4y+6) = 1/4y + 6

(-1/2y-3) = -1/2y - 3

Step 2: Subtract the two expressions

Now, let's subtract the two expressions:

(1/4y + 6) - (-1/2y - 3)

To subtract the two expressions, we need to change the sign of the second expression and then add:

(1/4y + 6) + (1/2y + 3)

Step 3: Combine like terms

Now, let's combine like terms:

(1/4y + 1/2y) + (6 + 3)

Combine the y terms:

(1/4y + 2/4y) = 3/4y

Combine the constants:

(6 + 3) = 9

Final Answer

The simplified expression is:

(1/4y+6)-(-1/2y-3) = 3/4y + 9

Therefore, the simplified form of the algebraic expression (1/4y+6)-(-1/2y-3) is 3/4y + 9.