3b+6-7b+8=1

Solution for 3b+6-7b+8=1 equation:

Simplifying
3b + 6 + -7b + 8 = 1

Reorder the terms:
6 + 8 + 3b + -7b = 1

Combine like terms: 6 + 8 = 14
14 + 3b + -7b = 1

Combine like terms: 3b + -7b = -4b
14 + -4b = 1

Solving
14 + -4b = 1

Solving for variable 'b'.

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

Add '-14' to each side of the equation.
14 + -14 + -4b = 1 + -14

Combine like terms: 14 + -14 = 0
0 + -4b = 1 + -14
-4b = 1 + -14

Combine like terms: 1 + -14 = -13
-4b = -13

Divide each side by '-4'.
b = 3.25

Simplifying
b = 3.25