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Simplifying y = xy + 7x + 2y + 14 Reorder the terms: y = 14 + 7x + xy + 2y Solving y = 14 + 7x + xy + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1xy' to each side of the equation. -1xy + y = 14 + 7x + xy + -1xy + 2y Combine like terms: xy + -1xy = 0 -1xy + y = 14 + 7x + 0 + 2y -1xy + y = 14 + 7x + 2y Add '-2y' to each side of the equation. -1xy + y + -2y = 14 + 7x + 2y + -2y Combine like terms: y + -2y = -1y -1xy + -1y = 14 + 7x + 2y + -2y Combine like terms: 2y + -2y = 0 -1xy + -1y = 14 + 7x + 0 -1xy + -1y = 14 + 7x Reorder the terms: -14 + -7x + -1xy + -1y = 14 + 7x + -14 + -7x Reorder the terms: -14 + -7x + -1xy + -1y = 14 + -14 + 7x + -7x Combine like terms: 14 + -14 = 0 -14 + -7x + -1xy + -1y = 0 + 7x + -7x -14 + -7x + -1xy + -1y = 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -7x + -1xy + -1y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(14 + 7x + xy + y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(14 + 7x + xy + y)' equal to zero and attempt to solve: Simplifying 14 + 7x + xy + y = 0 Solving 14 + 7x + xy + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 7x + xy + -14 + y = 0 + -14 Reorder the terms: 14 + -14 + 7x + xy + y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7x + xy + y = 0 + -14 7x + xy + y = 0 + -14 Combine like terms: 0 + -14 = -14 7x + xy + y = -14 Add '-7x' to each side of the equation. 7x + xy + -7x + y = -14 + -7x Reorder the terms: 7x + -7x + xy + y = -14 + -7x Combine like terms: 7x + -7x = 0 0 + xy + y = -14 + -7x xy + y = -14 + -7x 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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