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Simplifying 8y = 5xfory Solving 8y = 5forxy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5forxy' to each side of the equation. -5forxy + 8y = 5forxy + -5forxy Combine like terms: 5forxy + -5forxy = 0 -5forxy + 8y = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-5forx + 8) = 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 '(-5forx + 8)' equal to zero and attempt to solve: Simplifying -5forx + 8 = 0 Reorder the terms: 8 + -5forx = 0 Solving 8 + -5forx = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5forx = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5forx = 0 + -8 -5forx = 0 + -8 Combine like terms: 0 + -8 = -8 -5forx = -8 Add '5forx' to each side of the equation. -5forx + 5forx = -8 + 5forx Combine like terms: -5forx + 5forx = 0 0 = -8 + 5forx Simplifying 0 = -8 + 5forx 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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