12(y+5)=3y+2

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


Simplifying
12(y + 5) = 3y + 2

Reorder the terms:
12(5 + y) = 3y + 2
(5 * 12 + y * 12) = 3y + 2
(60 + 12y) = 3y + 2

Reorder the terms:
60 + 12y = 2 + 3y

Solving
60 + 12y = 2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
60 + 12y + -3y = 2 + 3y + -3y

Combine like terms: 12y + -3y = 9y
60 + 9y = 2 + 3y + -3y

Combine like terms: 3y + -3y = 0
60 + 9y = 2 + 0
60 + 9y = 2

Add '-60' to each side of the equation.
60 + -60 + 9y = 2 + -60

Combine like terms: 60 + -60 = 0
0 + 9y = 2 + -60
9y = 2 + -60

Combine like terms: 2 + -60 = -58
9y = -58

Divide each side by '9'.
y = -6.444444444

Simplifying
y = -6.444444444

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