7b+3-4b=3-(b+4)

Solution for 7b+3-4b=3-(b+4) equation:

Simplifying
7b + 3 + -4b = 3 + -1(b + 4)

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

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

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

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

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

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

Combine like terms: -1b + b = 0
3 + 4b = -1 + 0
3 + 4b = -1

Add '-3' to each side of the equation.
3 + -3 + 4b = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 4b = -1 + -3
4b = -1 + -3

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

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

Simplifying
b = -1