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Simplifying (Y + 5)(2y + 8) = 24 Reorder the terms: (5 + Y)(2y + 8) = 24 Reorder the terms: (5 + Y)(8 + 2y) = 24 Multiply (5 + Y) * (8 + 2y) (5(8 + 2y) + Y(8 + 2y)) = 24 ((8 * 5 + 2y * 5) + Y(8 + 2y)) = 24 ((40 + 10y) + Y(8 + 2y)) = 24 (40 + 10y + (8 * Y + 2y * Y)) = 24 (40 + 10y + (8Y + 2yY)) = 24 Reorder the terms: (40 + 8Y + 10y + 2yY) = 24 (40 + 8Y + 10y + 2yY) = 24 Solving 40 + 8Y + 10y + 2yY = 24 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 8Y + 10y + -40 + 2yY = 24 + -40 Reorder the terms: 40 + -40 + 8Y + 10y + 2yY = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 8Y + 10y + 2yY = 24 + -40 8Y + 10y + 2yY = 24 + -40 Combine like terms: 24 + -40 = -16 8Y + 10y + 2yY = -16 Add '-10y' to each side of the equation. 8Y + 10y + -10y + 2yY = -16 + -10y Combine like terms: 10y + -10y = 0 8Y + 0 + 2yY = -16 + -10y 8Y + 2yY = -16 + -10y Reorder the terms: 16 + 8Y + 10y + 2yY = -16 + -10y + 16 + 10y Reorder the terms: 16 + 8Y + 10y + 2yY = -16 + 16 + -10y + 10y Combine like terms: -16 + 16 = 0 16 + 8Y + 10y + 2yY = 0 + -10y + 10y 16 + 8Y + 10y + 2yY = -10y + 10y Combine like terms: -10y + 10y = 0 16 + 8Y + 10y + 2yY = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 4Y + 5y + yY) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + 4Y + 5y + yY)' equal to zero and attempt to solve: Simplifying 8 + 4Y + 5y + yY = 0 Solving 8 + 4Y + 5y + yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4Y + 5y + -8 + yY = 0 + -8 Reorder the terms: 8 + -8 + 4Y + 5y + yY = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4Y + 5y + yY = 0 + -8 4Y + 5y + yY = 0 + -8 Combine like terms: 0 + -8 = -8 4Y + 5y + yY = -8 Add '-5y' to each side of the equation. 4Y + 5y + -5y + yY = -8 + -5y Combine like terms: 5y + -5y = 0 4Y + 0 + yY = -8 + -5y 4Y + yY = -8 + -5y 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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