0.25(8-4b)=3b+6

Solution for 0.25(8-4b)=3b+6 equation:

Simplifying
0.25(8 + -4b) = 3b + 6
(8 * 0.25 + -4b * 0.25) = 3b + 6
(2 + -1b) = 3b + 6

Reorder the terms:
2 + -1b = 6 + 3b

Solving
2 + -1b = 6 + 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.
2 + -1b + -3b = 6 + 3b + -3b

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

Combine like terms: 3b + -3b = 0
2 + -4b = 6 + 0
2 + -4b = 6

Add '-2' to each side of the equation.
2 + -2 + -4b = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -4b = 6 + -2
-4b = 6 + -2

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

Divide each side by '-4'.
b = -1

Simplifying
b = -1