Alright, let's take a detailed look at the expression [tex]\( y - 2x + 7 \)[/tex].
### Step 1: Identify and Understand Each Term
- [tex]\( y \)[/tex]: This is a variable. Without a given value for [tex]\( y \)[/tex], it remains symbolic.
- [tex]\( -2x \)[/tex]: This represents the product of [tex]\(-2\)[/tex] and the variable [tex]\( x \)[/tex]. Again, without a specific value for [tex]\( x \)[/tex], this term also remains a general expression.
- [tex]\( 7 \)[/tex]: This is a constant term. Unlike variables, constants have defined numerical values.
### Step 2: Simplifying the Expression
This expression is already in its simplest form as it only combines variables and a constant summarily:
[tex]\[ y - 2x + 7 \][/tex]
### Step 3: Evaluation with Given Values
Since we don't have specific values for [tex]\( y \)[/tex] and [tex]\( x \)[/tex], the expression cannot be further simplified or evaluated numerically.
### Step 4: Interpretation
The expression [tex]\( y - 2x + 7 \)[/tex] represents a linear combination of [tex]\( y \)[/tex] and [tex]\( x \)[/tex], increased by 7. Without specific values for [tex]\( y \)[/tex] and [tex]\( x \)[/tex], this expression stays as a general form.
### Summary
- Expression given: [tex]\( y - 2x + 7 \)[/tex]
- Simplification: Already in simplest form
- Result: Remains [tex]\( y - 2x + 7 \)[/tex]
Thus, the final form of the given question, without additional values for [tex]\( y \)[/tex] and [tex]\( x \)[/tex], is the expression itself:
[tex]\[ y - 2x + 7 \][/tex]
