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Simplifying 8y + -8x(-31 + 5y) = -8 8y + (-31 * -8x + 5y * -8x) = -8 8y + (248x + -40xy) = -8 Reorder the terms: 248x + -40xy + 8y = -8 Solving 248x + -40xy + 8y = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 248x + -40xy + 8y + -8y = -8 + -8y Combine like terms: 8y + -8y = 0 248x + -40xy + 0 = -8 + -8y 248x + -40xy = -8 + -8y Reorder the terms: 8 + 248x + -40xy + 8y = -8 + -8y + 8 + 8y Reorder the terms: 8 + 248x + -40xy + 8y = -8 + 8 + -8y + 8y Combine like terms: -8 + 8 = 0 8 + 248x + -40xy + 8y = 0 + -8y + 8y 8 + 248x + -40xy + 8y = -8y + 8y Combine like terms: -8y + 8y = 0 8 + 248x + -40xy + 8y = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(1 + 31x + -5xy + y) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + 31x + -5xy + y)' equal to zero and attempt to solve: Simplifying 1 + 31x + -5xy + y = 0 Solving 1 + 31x + -5xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 31x + -5xy + -1 + y = 0 + -1 Reorder the terms: 1 + -1 + 31x + -5xy + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 31x + -5xy + y = 0 + -1 31x + -5xy + y = 0 + -1 Combine like terms: 0 + -1 = -1 31x + -5xy + y = -1 Add '-1y' to each side of the equation. 31x + -5xy + y + -1y = -1 + -1y Combine like terms: y + -1y = 0 31x + -5xy + 0 = -1 + -1y 31x + -5xy = -1 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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