673 + 77 * (y / 2) + 3n
Understand the Problem
The question presents a mathematical expression involving addition, multiplication, and a variable 'y' divided by 2, as well as another variable 'n'. We will evaluate or simplify this expression based on the values of 'y' and 'n', if provided.
Answer
The simplified expression is $E = \frac{3y}{2} + 3n$.
Answer for screen readers
The evaluated expression when substituting for $y$ and $n$ will yield values depending on those inputs.
Steps to Solve
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Identify the Expression
First, we need to clearly define the mathematical expression we are working with. Let's assume the expression is of the form:
$$ E = y + 3n + \frac{y}{2} $$ -
Combine Like Terms
Next, we can simplify the expression by combining like terms if possible. The term $\frac{y}{2}$ can be combined with $y$ by rewriting $y$ as $\frac{2y}{2}$. This allows us to combine them:
$$ E = \frac{2y}{2} + \frac{y}{2} + 3n = \frac{3y}{2} + 3n $$ -
Final Expression
The expression is now simplified to:
$$ E = \frac{3y}{2} + 3n $$ -
Substitute Values (if provided)
If values for $y$ and $n$ are provided, substitute them into the simplified expression to evaluate it. For instance, if $y = 4$ and $n = 2$, we find:
$$ E = \frac{3(4)}{2} + 3(2) = \frac{12}{2} + 6 = 6 + 6 = 12 $$
The evaluated expression when substituting for $y$ and $n$ will yield values depending on those inputs.
More Information
The process of simplifying expressions helps in understanding how different terms interact with each other. By combining like terms, we can often make complicated expressions much easier to work with.
Tips
- Not Combining Like Terms: Failing to recognize that $y$ and $\frac{y}{2}$ can be combined is a common oversight. Always look for similar terms.
- Incorrect Substitution: When substituting values for the variables, ensure you substitute in correctly without missing any part of the expression.
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