4B-32B=36B-8BY

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Solution for 4B-32B=36B-8BY equation: 


Simplifying
4B + -32B = 36B + -8BY

Combine like terms: 4B + -32B = -28B
-28B = 36B + -8BY

Solving
-28B = 36B + -8BY

Solving for variable 'B'.

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

Add '-36B' to each side of the equation.
-28B + -36B = 36B + -36B + -8BY

Combine like terms: -28B + -36B = -64B
-64B = 36B + -36B + -8BY

Combine like terms: 36B + -36B = 0
-64B = 0 + -8BY
-64B = -8BY

Add '8BY' to each side of the equation.
-64B + 8BY = -8BY + 8BY

Combine like terms: -8BY + 8BY = 0
-64B + 8BY = 0

Factor out the Greatest Common Factor (GCF), '8B'.
8B(-8 + Y) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'B' equal to zero and attempt to solve:

Simplifying
B = 0

Solving
B = 0

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

Simplifying
B = 0

Subproblem 2
Set the factor '(-8 + Y)' equal to zero and attempt to solve:

Simplifying
-8 + Y = 0

Solving
-8 + Y = 0

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

Add '8' to each side of the equation.
-8 + 8 + Y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + Y = 0 + 8
Y = 0 + 8

Combine like terms: 0 + 8 = 8
Y = 8

Add '-1Y' to each side of the equation.
Y + -1Y = 8 + -1Y

Combine like terms: Y + -1Y = 0
0 = 8 + -1Y

Simplifying
0 = 8 + -1Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
B = {0}

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