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Simplifying 6y + -21 = -4xy + 19 Reorder the terms: -21 + 6y = -4xy + 19 Reorder the terms: -21 + 6y = 19 + -4xy Solving -21 + 6y = 19 + -4xy Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4xy' to each side of the equation. -21 + 4xy + 6y = 19 + -4xy + 4xy Combine like terms: -4xy + 4xy = 0 -21 + 4xy + 6y = 19 + 0 -21 + 4xy + 6y = 19 Add '21' to each side of the equation. -21 + 4xy + 21 + 6y = 19 + 21 Reorder the terms: -21 + 21 + 4xy + 6y = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 4xy + 6y = 19 + 21 4xy + 6y = 19 + 21 Combine like terms: 19 + 21 = 40 4xy + 6y = 40 Reorder the terms: -40 + 4xy + 6y = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 4xy + 6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 2xy + 3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 2xy + 3y)' equal to zero and attempt to solve: Simplifying -20 + 2xy + 3y = 0 Solving -20 + 2xy + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 2xy + 20 + 3y = 0 + 20 Reorder the terms: -20 + 20 + 2xy + 3y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 2xy + 3y = 0 + 20 2xy + 3y = 0 + 20 Combine like terms: 0 + 20 = 20 2xy + 3y = 20 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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