3g-6(g-80)=42

Solution for 3g-6(g-80)=42 equation:

Simplifying
3g + -6(g + -80) = 42

Reorder the terms:
3g + -6(-80 + g) = 42
3g + (-80 * -6 + g * -6) = 42
3g + (480 + -6g) = 42

Reorder the terms:
480 + 3g + -6g = 42

Combine like terms: 3g + -6g = -3g
480 + -3g = 42

Solving
480 + -3g = 42

Solving for variable 'g'.

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

Add '-480' to each side of the equation.
480 + -480 + -3g = 42 + -480

Combine like terms: 480 + -480 = 0
0 + -3g = 42 + -480
-3g = 42 + -480

Combine like terms: 42 + -480 = -438
-3g = -438

Divide each side by '-3'.
g = 146

Simplifying
g = 146