3b+8-b=3(b-1)+1

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Solution for 3b+8-b=3(b-1)+1 equation: 


Simplifying
3b + 8 + -1b = 3(b + -1) + 1

Reorder the terms:
8 + 3b + -1b = 3(b + -1) + 1

Combine like terms: 3b + -1b = 2b
8 + 2b = 3(b + -1) + 1

Reorder the terms:
8 + 2b = 3(-1 + b) + 1
8 + 2b = (-1 * 3 + b * 3) + 1
8 + 2b = (-3 + 3b) + 1

Reorder the terms:
8 + 2b = -3 + 1 + 3b

Combine like terms: -3 + 1 = -2
8 + 2b = -2 + 3b

Solving
8 + 2b = -2 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
8 + 2b + -3b = -2 + 3b + -3b

Combine like terms: 2b + -3b = -1b
8 + -1b = -2 + 3b + -3b

Combine like terms: 3b + -3b = 0
8 + -1b = -2 + 0
8 + -1b = -2

Add '-8' to each side of the equation.
8 + -8 + -1b = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = -2 + -8
-1b = -2 + -8

Combine like terms: -2 + -8 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10

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