**Solution:**

To find the equivalent resistance between points x and y, we can start by analyzing the circuit and using the rules for resistors in series and parallel.

**Step 1: Identifying Resistors in Series and Parallel**

Let's label the resistors in the circuit as follows:
- R1: Resistor connected between points x and a
- R2: Resistor connected between points a and b
- R3: Resistor connected between points b and c
- R4: Resistor connected between points c and d
- R5: Resistor connected between points d and e
- R6: Resistor connected between points e and y

From the given circuit, we can observe the following connections:
- R1, R2, and R3 are connected in series
- R4 and R5 are connected in parallel
- R6 is separate

**Step 2: Finding the Equivalent Resistance for Resistors in Series**

When resistors are connected in series, the equivalent resistance is the sum of the individual resistances. Therefore, the equivalent resistance for R1, R2, and R3 can be calculated as:

Rs = R1 + R2 + R3

**Step 3: Finding the Equivalent Resistance for Resistors in Parallel**

When resistors are connected in parallel, the equivalent resistance can be calculated using the formula:

1/Rp = 1/R4 + 1/R5

To simplify the calculation, we can find the reciprocal of both sides of the equation:

Rp = 1/(1/R4 + 1/R5)

**Step 4: Finding the Total Equivalent Resistance**

Now that we have the equivalent resistance for the series resistors (Rs) and the parallel resistors (Rp), we can find the total equivalent resistance (Rt) between points x and y.

Since Rs and Rp are in series, their equivalent resistance can be calculated as:

Rt = Rs + Rp

**Step 5: Substituting Values and Calculating the Equivalent Resistance**

Given that each resistor has a resistance of 10 ohms, we can substitute the values and calculate the equivalent resistance:

Rs = R1 + R2 + R3 = 10 + 10 + 10 = 30 ohms

Rp = 1/(1/R4 + 1/R5) = 1/(1/10 + 1/10) = 5 ohms

Rt = Rs + Rp = 30 + 5 = 35 ohms

Therefore, the equivalent resistance between points x and y is 35 ohms.