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Simplifying (Y + 10)(2y + -40) = 180 Reorder the terms: (10 + Y)(2y + -40) = 180 Reorder the terms: (10 + Y)(-40 + 2y) = 180 Multiply (10 + Y) * (-40 + 2y) (10(-40 + 2y) + Y(-40 + 2y)) = 180 ((-40 * 10 + 2y * 10) + Y(-40 + 2y)) = 180 ((-400 + 20y) + Y(-40 + 2y)) = 180 (-400 + 20y + (-40 * Y + 2y * Y)) = 180 (-400 + 20y + (-40Y + 2yY)) = 180 Reorder the terms: (-400 + -40Y + 20y + 2yY) = 180 (-400 + -40Y + 20y + 2yY) = 180 Solving -400 + -40Y + 20y + 2yY = 180 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '400' to each side of the equation. -400 + -40Y + 20y + 400 + 2yY = 180 + 400 Reorder the terms: -400 + 400 + -40Y + 20y + 2yY = 180 + 400 Combine like terms: -400 + 400 = 0 0 + -40Y + 20y + 2yY = 180 + 400 -40Y + 20y + 2yY = 180 + 400 Combine like terms: 180 + 400 = 580 -40Y + 20y + 2yY = 580 Add '-20y' to each side of the equation. -40Y + 20y + -20y + 2yY = 580 + -20y Combine like terms: 20y + -20y = 0 -40Y + 0 + 2yY = 580 + -20y -40Y + 2yY = 580 + -20y Reorder the terms: -580 + -40Y + 20y + 2yY = 580 + -20y + -580 + 20y Reorder the terms: -580 + -40Y + 20y + 2yY = 580 + -580 + -20y + 20y Combine like terms: 580 + -580 = 0 -580 + -40Y + 20y + 2yY = 0 + -20y + 20y -580 + -40Y + 20y + 2yY = -20y + 20y Combine like terms: -20y + 20y = 0 -580 + -40Y + 20y + 2yY = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-290 + -20Y + 10y + yY) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-290 + -20Y + 10y + yY)' equal to zero and attempt to solve: Simplifying -290 + -20Y + 10y + yY = 0 Solving -290 + -20Y + 10y + yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '290' to each side of the equation. -290 + -20Y + 10y + 290 + yY = 0 + 290 Reorder the terms: -290 + 290 + -20Y + 10y + yY = 0 + 290 Combine like terms: -290 + 290 = 0 0 + -20Y + 10y + yY = 0 + 290 -20Y + 10y + yY = 0 + 290 Combine like terms: 0 + 290 = 290 -20Y + 10y + yY = 290 Add '-10y' to each side of the equation. -20Y + 10y + -10y + yY = 290 + -10y Combine like terms: 10y + -10y = 0 -20Y + 0 + yY = 290 + -10y -20Y + yY = 290 + -10y 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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