33.3(3g-12)=6-2(g-1)

Solution for 33.3(3g-12)=6-2(g-1) equation:

Simplifying
33.3(3g + -12) = 6 + -2(g + -1)

Reorder the terms:
33.3(-12 + 3g) = 6 + -2(g + -1)
(-12 * 33.3 + 3g * 33.3) = 6 + -2(g + -1)
(-399.6 + 99.9g) = 6 + -2(g + -1)

Reorder the terms:
-399.6 + 99.9g = 6 + -2(-1 + g)
-399.6 + 99.9g = 6 + (-1 * -2 + g * -2)
-399.6 + 99.9g = 6 + (2 + -2g)

Combine like terms: 6 + 2 = 8
-399.6 + 99.9g = 8 + -2g

Solving
-399.6 + 99.9g = 8 + -2g

Solving for variable 'g'.

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

Add '2g' to each side of the equation.
-399.6 + 99.9g + 2g = 8 + -2g + 2g

Combine like terms: 99.9g + 2g = 101.9g
-399.6 + 101.9g = 8 + -2g + 2g

Combine like terms: -2g + 2g = 0
-399.6 + 101.9g = 8 + 0
-399.6 + 101.9g = 8

Add '399.6' to each side of the equation.
-399.6 + 399.6 + 101.9g = 8 + 399.6

Combine like terms: -399.6 + 399.6 = 0.0
0.0 + 101.9g = 8 + 399.6
101.9g = 8 + 399.6

Combine like terms: 8 + 399.6 = 407.6
101.9g = 407.6

Divide each side by '101.9'.
g = 4

Simplifying
g = 4