4(3y-1)+12=5y+2

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Solution for 4(3y-1)+12=5y+2 equation: 


Simplifying
4(3y + -1) + 12 = 5y + 2

Reorder the terms:
4(-1 + 3y) + 12 = 5y + 2
(-1 * 4 + 3y * 4) + 12 = 5y + 2
(-4 + 12y) + 12 = 5y + 2

Reorder the terms:
-4 + 12 + 12y = 5y + 2

Combine like terms: -4 + 12 = 8
8 + 12y = 5y + 2

Reorder the terms:
8 + 12y = 2 + 5y

Solving
8 + 12y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
8 + 12y + -5y = 2 + 5y + -5y

Combine like terms: 12y + -5y = 7y
8 + 7y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
8 + 7y = 2 + 0
8 + 7y = 2

Add '-8' to each side of the equation.
8 + -8 + 7y = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = 2 + -8
7y = 2 + -8

Combine like terms: 2 + -8 = -6
7y = -6

Divide each side by '7'.
y = -0.8571428571

Simplifying
y = -0.8571428571

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