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Simplifying Y(-9x + -7) = 3x + 12 Reorder the terms: Y(-7 + -9x) = 3x + 12 (-7 * Y + -9x * Y) = 3x + 12 (-7Y + -9xY) = 3x + 12 Reorder the terms: -7Y + -9xY = 12 + 3x Solving -7Y + -9xY = 12 + 3x Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Reorder the terms: -12 + -7Y + -3x + -9xY = 12 + 3x + -12 + -3x Reorder the terms: -12 + -7Y + -3x + -9xY = 12 + -12 + 3x + -3x Combine like terms: 12 + -12 = 0 -12 + -7Y + -3x + -9xY = 0 + 3x + -3x -12 + -7Y + -3x + -9xY = 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -7Y + -3x + -9xY = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 7Y + 3x + 9xY) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + 7Y + 3x + 9xY)' equal to zero and attempt to solve: Simplifying 12 + 7Y + 3x + 9xY = 0 Solving 12 + 7Y + 3x + 9xY = 0 Move all terms containing Y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7Y + 3x + -12 + 9xY = 0 + -12 Reorder the terms: 12 + -12 + 7Y + 3x + 9xY = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7Y + 3x + 9xY = 0 + -12 7Y + 3x + 9xY = 0 + -12 Combine like terms: 0 + -12 = -12 7Y + 3x + 9xY = -12 Add '-3x' to each side of the equation. 7Y + 3x + -3x + 9xY = -12 + -3x Combine like terms: 3x + -3x = 0 7Y + 0 + 9xY = -12 + -3x 7Y + 9xY = -12 + -3x 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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