y=log(1000y)

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Solution for y=log(1000y) equation: 


Simplifying
y = log(1000y)

Remove parenthesis around (1000y)
y = glo * 1000y

Reorder the terms for easier multiplication:
y = 1000glo * y

Multiply glo * y
y = 1000gloy

Solving
y = 1000gloy

Solving for variable 'y'.

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

Add '-1000gloy' to each side of the equation.
-1000gloy + y = 1000gloy + -1000gloy

Combine like terms: 1000gloy + -1000gloy = 0
-1000gloy + y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1000glo + 1) = 0


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 = 0

Subproblem 2
Set the factor '(-1000glo + 1)' equal to zero and attempt to solve:

Simplifying
-1000glo + 1 = 0

Reorder the terms:
1 + -1000glo = 0

Solving
1 + -1000glo = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1000glo = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1000glo = 0 + -1
-1000glo = 0 + -1

Combine like terms: 0 + -1 = -1
-1000glo = -1

Add '1000glo' to each side of the equation.
-1000glo + 1000glo = -1 + 1000glo

Combine like terms: -1000glo + 1000glo = 0
0 = -1 + 1000glo

Simplifying
0 = -1 + 1000glo

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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