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Simplifying 3y3(y4 + -8y) + 6y7 = 0 Reorder the terms: 3y3(-8y + y4) + 6y7 = 0 (-8y * 3y3 + y4 * 3y3) + 6y7 = 0 (-24y4 + 3y7) + 6y7 = 0 Combine like terms: 3y7 + 6y7 = 9y7 -24y4 + 9y7 = 0 Solving -24y4 + 9y7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y4'. 3y4(-8 + 3y3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 '(-8 + 3y3)' equal to zero and attempt to solve: Simplifying -8 + 3y3 = 0 Solving -8 + 3y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3y3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3y3 = 0 + 8 3y3 = 0 + 8 Combine like terms: 0 + 8 = 8 3y3 = 8 Divide each side by '3'. y3 = 2.666666667 Simplifying y3 = 2.666666667 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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