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The task involves computing the values of several algebraic expressions (terms) for different values of \( y \). Let's start by solving these expressions for each given \( y \):

### Expressions:
a) \( 2y + 4 \)  
b) \( 4y - 2 \)  
c) \( \frac{(y-2)}{0.5} \) or \( 2(y - 2) \)  
d) \( 3(y + 1) \)  
e) \( -5y + 1 \)  
f) \( -6y + 2 \)  
g) \( \frac{1}{2}y + 4 \)  
h) \( 3(y - 0.5) \)

### Values for \( y \):
1, 2, -3, -4, 0.5, 0.25

I'll compute each expression for the values of \( y \) provided and fill out the table. Let's start with that:Here are the computed values for each expression, organized by the rows (a-h) and the corresponding values of \( y \) (1, 2, -3, -4, 0.5, 0.25):

### Results Table:
- **(a) \( 2y + 4 \)**: 6, 8, -2, -4, 5.0, 4.5
- **(b) \( 4y - 2 \)**: 2, 6, -14, -18, 0.0, -1.0
- **(c) \( 2(y - 2) \)**: -2, 0, -10, -12, -3.0, -3.5
- **(d) \( 3(y + 1) \)**: 6, 9, -6, -9, 4.5, 3.75
- **(e) \( -5y + 1 \)**: -4, -9, 16, 21, -1.5, -0.25
- **(f) \( -6y + 2 \)**: -4, -10, 20, 26, -1.0, 0.5
- **(g) \( \frac{1}{2}y + 4 \)**: 4.5, 5.0, 2.5, 2.0, 4.25, 4.125
- **(h) \( 3(y - 0.5) \)**: 1.5, 4.5, -10.5, -13.5, 0.0, -0.75

You can fill these values into your table based on the calculations provided. If you need further clarification or details on how these results were computed, feel free to ask.

### Questions for Further Exploration:
1. What would be the result for each expression if \( y \) was zero?
2. How do the results change if you double the value of \( y \) in each expression?
3. What patterns can you observe from the calculated results, especially for negative values of \( y \)?
4. How would the expressions change if you were asked to subtract a constant from each one?
5. What real-world applications could use these kinds of algebraic manipulations?

### Tip:
Remember that understanding how changing the variable \( y \) affects each expression can provide deeper insights into the behavior of linear and nonlinear relationships in algebra.

Berechne den Wert der Terme im Kopf. Schreibe das Ergebnis in die Tabelle.

This problem involves calculating the values of algebraic expressions such as 2y + 4, 4y - 2, and more for various values of y (1, 2, -3, -4, 0.5, 1/4). Suitable for Grades 5-8.

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