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Simplifying 3y(b + 4) = 36 + -3b Reorder the terms: 3y(4 + b) = 36 + -3b (4 * 3y + b * 3y) = 36 + -3b Reorder the terms: (3by + 12y) = 36 + -3b (3by + 12y) = 36 + -3b Solving 3by + 12y = 36 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 3by + 3b + 12y = 36 + -3b + 3b Reorder the terms: 3b + 3by + 12y = 36 + -3b + 3b Combine like terms: -3b + 3b = 0 3b + 3by + 12y = 36 + 0 3b + 3by + 12y = 36 Add '-12y' to each side of the equation. 3b + 3by + 12y + -12y = 36 + -12y Combine like terms: 12y + -12y = 0 3b + 3by + 0 = 36 + -12y 3b + 3by = 36 + -12y Reorder the terms: -36 + 3b + 3by + 12y = 36 + -12y + -36 + 12y Reorder the terms: -36 + 3b + 3by + 12y = 36 + -36 + -12y + 12y Combine like terms: 36 + -36 = 0 -36 + 3b + 3by + 12y = 0 + -12y + 12y -36 + 3b + 3by + 12y = -12y + 12y Combine like terms: -12y + 12y = 0 -36 + 3b + 3by + 12y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + b + by + 4y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-12 + b + by + 4y)' equal to zero and attempt to solve: Simplifying -12 + b + by + 4y = 0 Solving -12 + b + by + 4y = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + b + by + 12 + 4y = 0 + 12 Reorder the terms: -12 + 12 + b + by + 4y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + b + by + 4y = 0 + 12 b + by + 4y = 0 + 12 Combine like terms: 0 + 12 = 12 b + by + 4y = 12 Add '-4y' to each side of the equation. b + by + 4y + -4y = 12 + -4y Combine like terms: 4y + -4y = 0 b + by + 0 = 12 + -4y b + by = 12 + -4y 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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