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The correct answer is 2.
Given that angle Upper A Upper B Upper D has a measurement of 10y degrees and angle Upper C Upper B Upper E has a measurement of 8y + 4 degrees, we can set up the following equation:
10y + 8y + 4 = 180 (the sum of angles in a triangle)
Combining like terms, we get:
18y + 4 = 180
18y = 176
y = 176/18
y = 2
Therefore, the value of y is 2.