72=6(y-4)+2y+8y

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Solution for 72=6(y-4)+2y+8y equation:


Simplifying
72 = 6(y + -4) + 2y + 8y

Reorder the terms:
72 = 6(-4 + y) + 2y + 8y
72 = (-4 * 6 + y * 6) + 2y + 8y
72 = (-24 + 6y) + 2y + 8y

Combine like terms: 6y + 2y = 8y
72 = -24 + 8y + 8y

Combine like terms: 8y + 8y = 16y
72 = -24 + 16y

Solving
72 = -24 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
72 + -16y = -24 + 16y + -16y

Combine like terms: 16y + -16y = 0
72 + -16y = -24 + 0
72 + -16y = -24

Add '-72' to each side of the equation.
72 + -72 + -16y = -24 + -72

Combine like terms: 72 + -72 = 0
0 + -16y = -24 + -72
-16y = -24 + -72

Combine like terms: -24 + -72 = -96
-16y = -96

Divide each side by '-16'.
y = 6

Simplifying
y = 6

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