e^3y=1

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Solution for e^3y=1 equation:


Simplifying
e3y = 1

Solving
e3y = 1

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by 'y'.
e3 = y-1

Simplifying
e3 = y-1

Combine like terms: y-1 + -1y-1 = 0
e3 + -1y-1 = 0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(e3y + -1) = 0

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(e3y + -1)' equal to zero and attempt to solve: Simplifying e3y + -1 = 0 Reorder the terms: -1 + e3y = 0 Solving -1 + e3y = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + e3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + e3y = 0 + 1 e3y = 0 + 1 Combine like terms: 0 + 1 = 1 e3y = 1 Divide each side by 'y'. e3 = y-1 Simplifying e3 = y-1 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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