Let's analyze and solve this system of equations step by step:

### Given Equations:
1. \( A + B + Y + S + E = SB \)
2. \( AE - YS = YY \)
3. \( Y + B = Y \)

### Step 1: Analyze the Third Equation
The third equation is:
\[
Y + B = Y
\]
Subtracting \( Y \) from both sides, we get:
\[
B = 0
\]
This simplifies our problem by establishing that \( B = 0 \).

### Step 2: Substitute \( B = 0 \) into Other Equations
With \( B = 0 \), we can simplify the other equations.

#### Substitute \( B = 0 \) into Equation 1:
\[
A + 0 + Y + S + E = S \cdot 0
\]
This simplifies to:
\[
A + Y + S + E = 0
\]
So, our first equation now reads:
\[
A + Y + S + E = 0
\]

#### Substitute \( B = 0 \) into Equation 2:
The second equation remains:
\[
AE - YS = YY
\]

### Step 3: Analyze the Simplified System of Equations
We now have two equations:
1. \( A + Y + S + E = 0 \)
2. \( AE - YS = YY \)

Let's consider possible values for the variables that satisfy both equations.

---

Would you like me to proceed with specific values or attempt to further simplify the general solution? 

### Follow-Up Questions
1. What values can we assume for \( A \), \( Y \), \( S \), and \( E \) to simplify further?
2. Do you want a numerical or general solution?
3. Should we test specific integer values to find solutions?
4. Are there any constraints on the values of the variables?
5. Do you want to verify potential solutions with substitutions?

**Tip:** Always start by simplifying equations with isolated terms; they often reveal crucial variable values.

A + B + Y + S + E = SB, AE - YS = YY, Y + B = Y

Learn how to solve a system of equations involving variables A, B, Y, S, and E. This problem includes step-by-step analysis, substitution, and simplification techniques, making it suitable for high school students studying algebra and systems of equations.

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