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105\left(-\frac{2y}{5}\right)+5y=0
Multiply both sides of the equation by 5.
-21\times 2y+5y=0
Cancel out 5, the greatest common factor in 105 and 5.
-42y+5y=0
Multiply -21 and 2 to get -42.
-37y=0
Combine -42y and 5y to get -37y.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -37 is not equal to 0, y must be equal to 0.