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100-y-y=100
Subtract y from both sides.
100-2y=100
Combine -y and -y to get -2y.
-2y=100-100
Subtract 100 from both sides.
-2y=0
Subtract 100 from 100 to get 0.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, y must be equal to 0.