log[b](y-3)-log[b](y-4)=log[b](y+3)-log[b]y

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Solution for log[b](y-3)-log[b](y-4)=log[b](y+3)-log[b]y equation:


Simplifying
log[b](y + -3) + -1log[b](y + -4) = log[b](y + 3) + -1log[b] * y

Reorder the terms:
glo * b(-3 + y) + -1log[b](y + -4) = log[b](y + 3) + -1log[b] * y

Multiply glo * b
bglo(-3 + y) + -1log[b](y + -4) = log[b](y + 3) + -1log[b] * y
(-3 * bglo + y * bglo) + -1log[b](y + -4) = log[b](y + 3) + -1log[b] * y
(-3bglo + bgloy) + -1log[b](y + -4) = log[b](y + 3) + -1log[b] * y

Reorder the terms:
-3bglo + bgloy + -1glo * b(-4 + y) = log[b](y + 3) + -1log[b] * y

Multiply glo * b
-3bglo + bgloy + -1bglo(-4 + y) = log[b](y + 3) + -1log[b] * y
-3bglo + bgloy + (-4 * -1bglo + y * -1bglo) = log[b](y + 3) + -1log[b] * y
-3bglo + bgloy + (4bglo + -1bgloy) = log[b](y + 3) + -1log[b] * y

Reorder the terms:
-3bglo + 4bglo + bgloy + -1bgloy = log[b](y + 3) + -1log[b] * y

Combine like terms: -3bglo + 4bglo = 1bglo
1bglo + bgloy + -1bgloy = log[b](y + 3) + -1log[b] * y

Combine like terms: bgloy + -1bgloy = 0
1bglo + 0 = log[b](y + 3) + -1log[b] * y
1bglo = log[b](y + 3) + -1log[b] * y

Reorder the terms:
1bglo = glo * b(3 + y) + -1log[b] * y

Multiply glo * b
1bglo = bglo(3 + y) + -1log[b] * y
1bglo = (3 * bglo + y * bglo) + -1log[b] * y
1bglo = (3bglo + bgloy) + -1log[b] * y

Multiply glo * b
1bglo = 3bglo + bgloy + -1bglo * y

Multiply bglo * y
1bglo = 3bglo + bgloy + -1bgloy

Combine like terms: bgloy + -1bgloy = 0
1bglo = 3bglo + 0
1bglo = 3bglo

Solving
1bglo = 3bglo

Solving for variable 'b'.

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

Add '-3bglo' to each side of the equation.
1bglo + -3bglo = 3bglo + -3bglo

Combine like terms: 1bglo + -3bglo = -2bglo
-2bglo = 3bglo + -3bglo

Combine like terms: 3bglo + -3bglo = 0
-2bglo = 0

Divide each side by '-2'.
bglo = 0

Simplifying
bglo = 0

The solution to this equation could not be determined.

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