b+1-3b=-4+6b-7b

Solution for b+1-3b=-4+6b-7b equation:

Simplifying
b + 1 + -3b = -4 + 6b + -7b

Reorder the terms:
1 + b + -3b = -4 + 6b + -7b

Combine like terms: b + -3b = -2b
1 + -2b = -4 + 6b + -7b

Combine like terms: 6b + -7b = -1b
1 + -2b = -4 + -1b

Solving
1 + -2b = -4 + -1b

Solving for variable 'b'.

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

Add 'b' to each side of the equation.
1 + -2b + b = -4 + -1b + b

Combine like terms: -2b + b = -1b
1 + -1b = -4 + -1b + b

Combine like terms: -1b + b = 0
1 + -1b = -4 + 0
1 + -1b = -4

Add '-1' to each side of the equation.
1 + -1 + -1b = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -1b = -4 + -1
-1b = -4 + -1

Combine like terms: -4 + -1 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5