-50BY+30B=80BY-40B

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Solution for -50BY+30B=80BY-40B equation: 


Simplifying
-50BY + 30B = 80BY + -40B

Reorder the terms:
30B + -50BY = 80BY + -40B

Reorder the terms:
30B + -50BY = -40B + 80BY

Solving
30B + -50BY = -40B + 80BY

Solving for variable 'B'.

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

Add '40B' to each side of the equation.
30B + 40B + -50BY = -40B + 40B + 80BY

Combine like terms: 30B + 40B = 70B
70B + -50BY = -40B + 40B + 80BY

Combine like terms: -40B + 40B = 0
70B + -50BY = 0 + 80BY
70B + -50BY = 80BY

Add '-80BY' to each side of the equation.
70B + -50BY + -80BY = 80BY + -80BY

Combine like terms: -50BY + -80BY = -130BY
70B + -130BY = 80BY + -80BY

Combine like terms: 80BY + -80BY = 0
70B + -130BY = 0

Factor out the Greatest Common Factor (GCF), '10B'.
10B(7 + -13Y) = 0

Ignore the factor 10.

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 '(7 + -13Y)' equal to zero and attempt to solve:

Simplifying
7 + -13Y = 0

Solving
7 + -13Y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -13Y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -13Y = 0 + -7
-13Y = 0 + -7

Combine like terms: 0 + -7 = -7
-13Y = -7

Add '13Y' to each side of the equation.
-13Y + 13Y = -7 + 13Y

Combine like terms: -13Y + 13Y = 0
0 = -7 + 13Y

Simplifying
0 = -7 + 13Y

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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