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Simplifying Y(9y + -1) = 0 Reorder the terms: Y(-1 + 9y) = 0 (-1 * Y + 9y * Y) = 0 (-1Y + 9yY) = 0 Solving -1Y + 9yY = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'Y'. Y(-1 + 9y) = 0## Subproblem 1

Set the factor 'Y' equal to zero and attempt to solve: Simplifying Y = 0 Solving Y = 0 Move all terms containing Y to the left, all other terms to the right. Simplifying Y = 0## Subproblem 2

Set the factor '(-1 + 9y)' equal to zero and attempt to solve: Simplifying -1 + 9y = 0 Solving -1 + 9y = 0 Move all terms containing Y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9y = 0 + 1 9y = 0 + 1 Combine like terms: 0 + 1 = 1 9y = 1 Add '-9y' to each side of the equation. 9y + -9y = 1 + -9y Combine like terms: 9y + -9y = 0 0 = 1 + -9y Simplifying 0 = 1 + -9y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

Y = {0}

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