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Simplifying 3y + 4(6 + -0.75y) * x = 24 Reorder the terms for easier multiplication: 3y + 4x(6 + -0.75y) = 24 3y + (6 * 4x + -0.75y * 4x) = 24 3y + (24x + -3xy) = 24 Reorder the terms: 24x + -3xy + 3y = 24 Solving 24x + -3xy + 3y = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 24x + -3xy + 3y + -3y = 24 + -3y Combine like terms: 3y + -3y = 0 24x + -3xy + 0 = 24 + -3y 24x + -3xy = 24 + -3y Reorder the terms: -24 + 24x + -3xy + 3y = 24 + -3y + -24 + 3y Reorder the terms: -24 + 24x + -3xy + 3y = 24 + -24 + -3y + 3y Combine like terms: 24 + -24 = 0 -24 + 24x + -3xy + 3y = 0 + -3y + 3y -24 + 24x + -3xy + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -24 + 24x + -3xy + 3y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 8x + -1xy + y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + 8x + -1xy + y)' equal to zero and attempt to solve: Simplifying -8 + 8x + -1xy + y = 0 Solving -8 + 8x + -1xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8x + -1xy + 8 + y = 0 + 8 Reorder the terms: -8 + 8 + 8x + -1xy + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8x + -1xy + y = 0 + 8 8x + -1xy + y = 0 + 8 Combine like terms: 0 + 8 = 8 8x + -1xy + y = 8 Add '-1y' to each side of the equation. 8x + -1xy + y + -1y = 8 + -1y Combine like terms: y + -1y = 0 8x + -1xy + 0 = 8 + -1y 8x + -1xy = 8 + -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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