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Simplifying 4y + -7y = 8ty Combine like terms: 4y + -7y = -3y -3y = 8ty Solving -3y = 8ty Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8ty' to each side of the equation. -8ty + -3y = 8ty + -8ty Combine like terms: 8ty + -8ty = 0 -8ty + -3y = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(8t + 3) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(8t + 3)' equal to zero and attempt to solve: Simplifying 8t + 3 = 0 Reorder the terms: 3 + 8t = 0 Solving 3 + 8t = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 0 + -3 8t = 0 + -3 Combine like terms: 0 + -3 = -3 8t = -3 Add '-8t' to each side of the equation. 8t + -8t = -3 + -8t Combine like terms: 8t + -8t = 0 0 = -3 + -8t Simplifying 0 = -3 + -8t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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