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10-8y=10-4y
Use the distributive property to multiply 2 by 5-4y.
10-8y+4y=10
Add 4y to both sides.
10-4y=10
Combine -8y and 4y to get -4y.
-4y=10-10
Subtract 10 from both sides.
-4y=0
Subtract 10 from 10 to get 0.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -4 is not equal to 0, y must be equal to 0.