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Simplifying (7y + -1yz) + (7y + -1yz) = 0 Remove parenthesis around (7y + -1yz) 7y + -1yz + (7y + -1yz) = 0 Remove parenthesis around (7y + -1yz) 7y + -1yz + 7y + -1yz = 0 Reorder the terms: 7y + 7y + -1yz + -1yz = 0 Combine like terms: 7y + 7y = 14y 14y + -1yz + -1yz = 0 Combine like terms: -1yz + -1yz = -2yz 14y + -2yz = 0 Solving 14y + -2yz = 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), '2y'. 2y(7 + -1z) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve: Simplifying 7 + -1z = 0 Solving 7 + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 0 + -7 -1z = 0 + -7 Combine like terms: 0 + -7 = -7 -1z = -7 Add 'z' to each side of the equation. -1z + z = -7 + z Combine like terms: -1z + z = 0 0 = -7 + z Simplifying 0 = -7 + 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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