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Simplifying (27Y + -1Y2) + (27 + -2Y) = 183 Remove parenthesis around (27Y + -1Y2) 27Y + -1Y2 + (27 + -2Y) = 183 Remove parenthesis around (27 + -2Y) 27Y + -1Y2 + 27 + -2Y = 183 Reorder the terms: 27 + 27Y + -2Y + -1Y2 = 183 Combine like terms: 27Y + -2Y = 25Y 27 + 25Y + -1Y2 = 183 Solving 27 + 25Y + -1Y2 = 183 Solving for variable 'Y'. Reorder the terms: 27 + -183 + 25Y + -1Y2 = 183 + -183 Combine like terms: 27 + -183 = -156 -156 + 25Y + -1Y2 = 183 + -183 Combine like terms: 183 + -183 = 0 -156 + 25Y + -1Y2 = 0 Factor a trinomial. (-13 + Y)(12 + -1Y) = 0Subproblem 1
Set the factor '(-13 + Y)' equal to zero and attempt to solve: Simplifying -13 + Y = 0 Solving -13 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + Y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + Y = 0 + 13 Y = 0 + 13 Combine like terms: 0 + 13 = 13 Y = 13 Simplifying Y = 13Subproblem 2
Set the factor '(12 + -1Y)' equal to zero and attempt to solve: Simplifying 12 + -1Y = 0 Solving 12 + -1Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1Y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1Y = 0 + -12 -1Y = 0 + -12 Combine like terms: 0 + -12 = -12 -1Y = -12 Divide each side by '-1'. Y = 12 Simplifying Y = 12Solution
Y = {13, 12}
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