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6-y=6-3y
Multiply both sides of the equation by 3.
6-y+3y=6
Add 3y to both sides.
6+2y=6
Combine -y and 3y to get 2y.
2y=6-6
Subtract 6 from both sides.
2y=0
Subtract 6 from 6 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.