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