2(3y+2)=1.2(12y+8)

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Solution for 2(3y+2)=1.2(12y+8) equation: 


Simplifying
2(3y + 2) = 1.2(12y + 8)

Reorder the terms:
2(2 + 3y) = 1.2(12y + 8)
(2 * 2 + 3y * 2) = 1.2(12y + 8)
(4 + 6y) = 1.2(12y + 8)

Reorder the terms:
4 + 6y = 1.2(8 + 12y)
4 + 6y = (8 * 1.2 + 12y * 1.2)
4 + 6y = (9.6 + 14.4y)

Solving
4 + 6y = 9.6 + 14.4y

Solving for variable 'y'.

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

Add '-14.4y' to each side of the equation.
4 + 6y + -14.4y = 9.6 + 14.4y + -14.4y

Combine like terms: 6y + -14.4y = -8.4y
4 + -8.4y = 9.6 + 14.4y + -14.4y

Combine like terms: 14.4y + -14.4y = 0.0
4 + -8.4y = 9.6 + 0.0
4 + -8.4y = 9.6

Add '-4' to each side of the equation.
4 + -4 + -8.4y = 9.6 + -4

Combine like terms: 4 + -4 = 0
0 + -8.4y = 9.6 + -4
-8.4y = 9.6 + -4

Combine like terms: 9.6 + -4 = 5.6
-8.4y = 5.6

Divide each side by '-8.4'.
y = -0.6666666667

Simplifying
y = -0.6666666667

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