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Simplifying (6y2 + 120y) = (6y) * n Reorder the terms: (120y + 6y2) = (6y) * n Remove parenthesis around (120y + 6y2) 120y + 6y2 = (6y) * n Remove parenthesis around (6y) 120y + 6y2 = 6y * n Multiply y * n 120y + 6y2 = 6ny Solving 120y + 6y2 = 6ny Solving for variable 'y'. Reorder the terms: -6ny + 120y + 6y2 = 6ny + -6ny Combine like terms: 6ny + -6ny = 0 -6ny + 120y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '6y'. 6y(-1n + 20 + y) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-1n + 20 + y)' equal to zero and attempt to solve: Simplifying -1n + 20 + y = 0 Reorder the terms: 20 + -1n + y = 0 Solving 20 + -1n + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -1n + -20 + y = 0 + -20 Reorder the terms: 20 + -20 + -1n + y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1n + y = 0 + -20 -1n + y = 0 + -20 Combine like terms: 0 + -20 = -20 -1n + y = -20 Add 'n' to each side of the equation. -1n + n + y = -20 + n Combine like terms: -1n + n = 0 0 + y = -20 + n y = -20 + n Simplifying y = -20 + nSolution
y = {0, -20 + n}
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