6b-4(-2b+8)=10

Solution for 6b-4(-2b+8)=10 equation:

Simplifying
6b + -4(-2b + 8) = 10

Reorder the terms:
6b + -4(8 + -2b) = 10
6b + (8 * -4 + -2b * -4) = 10
6b + (-32 + 8b) = 10

Reorder the terms:
-32 + 6b + 8b = 10

Combine like terms: 6b + 8b = 14b
-32 + 14b = 10

Solving
-32 + 14b = 10

Solving for variable 'b'.

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

Add '32' to each side of the equation.
-32 + 32 + 14b = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 14b = 10 + 32
14b = 10 + 32

Combine like terms: 10 + 32 = 42
14b = 42

Divide each side by '14'.
b = 3

Simplifying
b = 3