5(6y+12)=6(12y-4)

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Solution for 5(6y+12)=6(12y-4) equation:


Simplifying
5(6y + 12) = 6(12y + -4)

Reorder the terms:
5(12 + 6y) = 6(12y + -4)
(12 * 5 + 6y * 5) = 6(12y + -4)
(60 + 30y) = 6(12y + -4)

Reorder the terms:
60 + 30y = 6(-4 + 12y)
60 + 30y = (-4 * 6 + 12y * 6)
60 + 30y = (-24 + 72y)

Solving
60 + 30y = -24 + 72y

Solving for variable 'y'.

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

Add '-72y' to each side of the equation.
60 + 30y + -72y = -24 + 72y + -72y

Combine like terms: 30y + -72y = -42y
60 + -42y = -24 + 72y + -72y

Combine like terms: 72y + -72y = 0
60 + -42y = -24 + 0
60 + -42y = -24

Add '-60' to each side of the equation.
60 + -60 + -42y = -24 + -60

Combine like terms: 60 + -60 = 0
0 + -42y = -24 + -60
-42y = -24 + -60

Combine like terms: -24 + -60 = -84
-42y = -84

Divide each side by '-42'.
y = 2

Simplifying
y = 2

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