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Simplifying 14y + 16y + -2yz + 0z = 0 Anything times zero is zero. 14y + 16y + -2yz + 0z = 0 Reorder the terms: 0 + 14y + 16y + -2yz = 0 Remove the zero: 14y + 16y + -2yz = 0 Combine like terms: 14y + 16y = 30y 30y + -2yz = 0 Solving 30y + -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(15 + -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 '(15 + -1z)' equal to zero and attempt to solve: Simplifying 15 + -1z = 0 Solving 15 + -1z = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1z = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1z = 0 + -15 -1z = 0 + -15 Combine like terms: 0 + -15 = -15 -1z = -15 Add 'z' to each side of the equation. -1z + z = -15 + z Combine like terms: -1z + z = 0 0 = -15 + z Simplifying 0 = -15 + 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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