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Simplifying 5y + -1yz = 10dfory Solving 5y + -1yz = 10dfory Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10dfory' to each side of the equation. 5y + -10dfory + -1yz = 10dfory + -10dfory Reorder the terms: -10dfory + 5y + -1yz = 10dfory + -10dfory Combine like terms: 10dfory + -10dfory = 0 -10dfory + 5y + -1yz = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-10dfor + 5 + -1z) = 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 '(-10dfor + 5 + -1z)' equal to zero and attempt to solve: Simplifying -10dfor + 5 + -1z = 0 Reorder the terms: 5 + -10dfor + -1z = 0 Solving 5 + -10dfor + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -10dfor + -5 + -1z = 0 + -5 Reorder the terms: 5 + -5 + -10dfor + -1z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10dfor + -1z = 0 + -5 -10dfor + -1z = 0 + -5 Combine like terms: 0 + -5 = -5 -10dfor + -1z = -5 Add '10dfor' to each side of the equation. -10dfor + 10dfor + -1z = -5 + 10dfor Combine like terms: -10dfor + 10dfor = 0 0 + -1z = -5 + 10dfor -1z = -5 + 10dfor Add 'z' to each side of the equation. -1z + z = -5 + 10dfor + z Combine like terms: -1z + z = 0 0 = -5 + 10dfor + z Simplifying 0 = -5 + 10dfor + z 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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