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## Step 1The given equation is . We can rewrite this equation by factoring out the common factor, which is . This gives us \(y(y^2 - 9) = 0\).## Step 2Next, we notice that the term is a difference of squares. This can be factored into \((y - 3)(y + 3)\).## Step 3Substituting the factored form of into the equation, we get \(y(y - 3)(y + 3) = 0\).## Step 4Setting each factor equal to zero gives us the solutions for . If , the equation is satisfied. If , then . If , then .