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Simplifying 2y + 4 = 3(2x + -6) * fory Reorder the terms: 4 + 2y = 3(2x + -6) * fory Reorder the terms: 4 + 2y = 3(-6 + 2x) * fory Reorder the terms for easier multiplication: 4 + 2y = 3fory(-6 + 2x) 4 + 2y = (-6 * 3fory + 2x * 3fory) Reorder the terms: 4 + 2y = (6forxy + -18fory) 4 + 2y = (6forxy + -18fory) Solving 4 + 2y = 6forxy + -18fory Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6forxy' to each side of the equation. 4 + -6forxy + 2y = 6forxy + -6forxy + -18fory Combine like terms: 6forxy + -6forxy = 0 4 + -6forxy + 2y = 0 + -18fory 4 + -6forxy + 2y = -18fory Add '18fory' to each side of the equation. 4 + -6forxy + 18fory + 2y = -18fory + 18fory Combine like terms: -18fory + 18fory = 0 4 + -6forxy + 18fory + 2y = 0 Add '-4' to each side of the equation. 4 + -6forxy + 18fory + -4 + 2y = 0 + -4 Reorder the terms: 4 + -4 + -6forxy + 18fory + 2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6forxy + 18fory + 2y = 0 + -4 -6forxy + 18fory + 2y = 0 + -4 Combine like terms: 0 + -4 = -4 -6forxy + 18fory + 2y = -4 Reorder the terms: 4 + -6forxy + 18fory + 2y = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6forxy + 18fory + 2y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3forxy + 9fory + y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3forxy + 9fory + y)' equal to zero and attempt to solve: Simplifying 2 + -3forxy + 9fory + y = 0 Solving 2 + -3forxy + 9fory + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3forxy + 9fory + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + -3forxy + 9fory + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3forxy + 9fory + y = 0 + -2 -3forxy + 9fory + y = 0 + -2 Combine like terms: 0 + -2 = -2 -3forxy + 9fory + y = -2 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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