b+3(b-1)=6-4(2b+3)

Solution for b+3(b-1)=6-4(2b+3) equation:

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

Reorder the terms:
b + 3(-1 + b) = 6 + -4(2b + 3)
b + (-1 * 3 + b * 3) = 6 + -4(2b + 3)
b + (-3 + 3b) = 6 + -4(2b + 3)

Reorder the terms:
-3 + b + 3b = 6 + -4(2b + 3)

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

Reorder the terms:
-3 + 4b = 6 + -4(3 + 2b)
-3 + 4b = 6 + (3 * -4 + 2b * -4)
-3 + 4b = 6 + (-12 + -8b)

Combine like terms: 6 + -12 = -6
-3 + 4b = -6 + -8b

Solving
-3 + 4b = -6 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
-3 + 4b + 8b = -6 + -8b + 8b

Combine like terms: 4b + 8b = 12b
-3 + 12b = -6 + -8b + 8b

Combine like terms: -8b + 8b = 0
-3 + 12b = -6 + 0
-3 + 12b = -6

Add '3' to each side of the equation.
-3 + 3 + 12b = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 12b = -6 + 3
12b = -6 + 3

Combine like terms: -6 + 3 = -3
12b = -3

Divide each side by '12'.
b = -0.25

Simplifying
b = -0.25