100=10*b+3*g+50-.5*b-.5*g

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Solution for 100=10*b+3*g+50-.5*b-.5*g equation: 


Simplifying
100 = 10b + 3g + 50 + -0.5b + -0.5g

Reorder the terms:
100 = 50 + 10b + -0.5b + 3g + -0.5g

Combine like terms: 10b + -0.5b = 9.5b
100 = 50 + 9.5b + 3g + -0.5g

Combine like terms: 3g + -0.5g = 2.5g
100 = 50 + 9.5b + 2.5g

Solving
100 = 50 + 9.5b + 2.5g

Solving for variable 'b'.

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

Add '-9.5b' to each side of the equation.
100 + -9.5b = 50 + 9.5b + -9.5b + 2.5g

Combine like terms: 9.5b + -9.5b = 0.0
100 + -9.5b = 50 + 0.0 + 2.5g
100 + -9.5b = 50 + 2.5g

Add '-100' to each side of the equation.
100 + -100 + -9.5b = 50 + -100 + 2.5g

Combine like terms: 100 + -100 = 0
0 + -9.5b = 50 + -100 + 2.5g
-9.5b = 50 + -100 + 2.5g

Combine like terms: 50 + -100 = -50
-9.5b = -50 + 2.5g

Divide each side by '-9.5'.
b = 5.263157895 + -0.2631578947g

Simplifying
b = 5.263157895 + -0.2631578947g

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