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5\times 7y=6\times 6y
Multiply both sides of the equation by 30, the least common multiple of 6,5.
35y=6\times 6y
Multiply 5 and 7 to get 35.
35y=36y
Multiply 6 and 6 to get 36.
35y-36y=0
Subtract 36y from both sides.
-y=0
Combine 35y and -36y to get -y.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, y must be equal to 0.