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Simplifying abs(5y + -4) = abs(51 + -6y) Reorder the terms: abs(-4 + 5y) = abs(51 + -6y) (-4 * abs + 5y * abs) = abs(51 + -6y) (-4abs + 5absy) = abs(51 + -6y) -4abs + 5absy = (51 * abs + -6y * abs) -4abs + 5absy = (51abs + -6absy) Solving -4abs + 5absy = 51abs + -6absy Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-51abs' to each side of the equation. -4abs + -51abs + 5absy = 51abs + -51abs + -6absy Combine like terms: -4abs + -51abs = -55abs -55abs + 5absy = 51abs + -51abs + -6absy Combine like terms: 51abs + -51abs = 0 -55abs + 5absy = 0 + -6absy -55abs + 5absy = -6absy Add '6absy' to each side of the equation. -55abs + 5absy + 6absy = -6absy + 6absy Combine like terms: 5absy + 6absy = 11absy -55abs + 11absy = -6absy + 6absy Combine like terms: -6absy + 6absy = 0 -55abs + 11absy = 0 Factor out the Greatest Common Factor (GCF), '11abs'. 11abs(-5 + y) = 0 Ignore the factor 11.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Add '-1y' to each side of the equation. y + -1y = 5 + -1y Combine like terms: y + -1y = 0 0 = 5 + -1y Simplifying 0 = 5 + -1y 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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