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

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

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

Remove parenthesis around (4b + -6r)
4b + -6r + (2r + -4) = (r + 1) + (b + -3)

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

Remove parenthesis around (-4 + 2r)
4b + -6r + -4 + 2r = (r + 1) + (b + -3)

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

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

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

Remove parenthesis around (1 + r)
-4 + 4b + -4r = 1 + r + (b + -3)

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

Remove parenthesis around (-3 + b)
-4 + 4b + -4r = 1 + r + -3 + b

Reorder the terms:
-4 + 4b + -4r = 1 + -3 + b + r

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

Solving
-4 + 4b + -4r = -2 + b + r

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
-4 + 4b + -1b + -4r = -2 + b + -1b + r

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

Combine like terms: b + -1b = 0
-4 + 3b + -4r = -2 + 0 + r
-4 + 3b + -4r = -2 + r

Add '4' to each side of the equation.
-4 + 3b + 4 + -4r = -2 + 4 + r

Reorder the terms:
-4 + 4 + 3b + -4r = -2 + 4 + r

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

Combine like terms: -2 + 4 = 2
3b + -4r = 2 + r

Add '4r' to each side of the equation.
3b + -4r + 4r = 2 + r + 4r

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

Combine like terms: r + 4r = 5r
3b = 2 + 5r

Divide each side by '3'.
b = 0.6666666667 + 1.666666667r

Simplifying
b = 0.6666666667 + 1.666666667r