79=4(5+8b)-3(-b-8)

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Solution for 79=4(5+8b)-3(-b-8) equation: 


Simplifying
79 = 4(5 + 8b) + -3(-1b + -8)
79 = (5 * 4 + 8b * 4) + -3(-1b + -8)
79 = (20 + 32b) + -3(-1b + -8)

Reorder the terms:
79 = 20 + 32b + -3(-8 + -1b)
79 = 20 + 32b + (-8 * -3 + -1b * -3)
79 = 20 + 32b + (24 + 3b)

Reorder the terms:
79 = 20 + 24 + 32b + 3b

Combine like terms: 20 + 24 = 44
79 = 44 + 32b + 3b

Combine like terms: 32b + 3b = 35b
79 = 44 + 35b

Solving
79 = 44 + 35b

Solving for variable 'b'.

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

Add '-35b' to each side of the equation.
79 + -35b = 44 + 35b + -35b

Combine like terms: 35b + -35b = 0
79 + -35b = 44 + 0
79 + -35b = 44

Add '-79' to each side of the equation.
79 + -79 + -35b = 44 + -79

Combine like terms: 79 + -79 = 0
0 + -35b = 44 + -79
-35b = 44 + -79

Combine like terms: 44 + -79 = -35
-35b = -35

Divide each side by '-35'.
b = 1

Simplifying
b = 1

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