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Simplifying 8b(y + -5) = 6y + -18 Reorder the terms: 8b(-5 + y) = 6y + -18 (-5 * 8b + y * 8b) = 6y + -18 (-40b + 8by) = 6y + -18 Reorder the terms: -40b + 8by = -18 + 6y Solving -40b + 8by = -18 + 6y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Reorder the terms: 18 + -40b + 8by + -6y = -18 + 6y + 18 + -6y Reorder the terms: 18 + -40b + 8by + -6y = -18 + 18 + 6y + -6y Combine like terms: -18 + 18 = 0 18 + -40b + 8by + -6y = 0 + 6y + -6y 18 + -40b + 8by + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 18 + -40b + 8by + -6y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -20b + 4by + -3y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -20b + 4by + -3y)' equal to zero and attempt to solve: Simplifying 9 + -20b + 4by + -3y = 0 Solving 9 + -20b + 4by + -3y = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -20b + 4by + -9 + -3y = 0 + -9 Reorder the terms: 9 + -9 + -20b + 4by + -3y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -20b + 4by + -3y = 0 + -9 -20b + 4by + -3y = 0 + -9 Combine like terms: 0 + -9 = -9 -20b + 4by + -3y = -9 Add '3y' to each side of the equation. -20b + 4by + -3y + 3y = -9 + 3y Combine like terms: -3y + 3y = 0 -20b + 4by + 0 = -9 + 3y -20b + 4by = -9 + 3y 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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