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Simplifying zy + 4y = 0 Reorder the terms: 4y + yz = 0 Solving 4y + yz = 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(4 + z) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(4 + z)' equal to zero and attempt to solve: Simplifying 4 + z = 0 Solving 4 + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + z = 0 + -4 z = 0 + -4 Combine like terms: 0 + -4 = -4 z = -4 Add '-1z' to each side of the equation. z + -1z = -4 + -1z Combine like terms: z + -1z = 0 0 = -4 + -1z Simplifying 0 = -4 + -1z 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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