3y-2(g+4)=8(g-1)

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Solution for 3y-2(g+4)=8(g-1) equation:


Simplifying
3y + -2(g + 4) = 8(g + -1)

Reorder the terms:
3y + -2(4 + g) = 8(g + -1)
3y + (4 * -2 + g * -2) = 8(g + -1)
3y + (-8 + -2g) = 8(g + -1)

Reorder the terms:
-8 + -2g + 3y = 8(g + -1)

Reorder the terms:
-8 + -2g + 3y = 8(-1 + g)
-8 + -2g + 3y = (-1 * 8 + g * 8)
-8 + -2g + 3y = (-8 + 8g)

Add '8' to each side of the equation.
-8 + -2g + 8 + 3y = -8 + 8 + 8g

Reorder the terms:
-8 + 8 + -2g + 3y = -8 + 8 + 8g

Combine like terms: -8 + 8 = 0
0 + -2g + 3y = -8 + 8 + 8g
-2g + 3y = -8 + 8 + 8g

Combine like terms: -8 + 8 = 0
-2g + 3y = 0 + 8g
-2g + 3y = 8g

Solving
-2g + 3y = 8g

Solving for variable 'g'.

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

Add '-8g' to each side of the equation.
-2g + -8g + 3y = 8g + -8g

Combine like terms: -2g + -8g = -10g
-10g + 3y = 8g + -8g

Combine like terms: 8g + -8g = 0
-10g + 3y = 0

Add '-3y' to each side of the equation.
-10g + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
-10g + 0 = 0 + -3y
-10g = 0 + -3y
Remove the zero:
-10g = -3y

Divide each side by '-10'.
g = 0.3y

Simplifying
g = 0.3y

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