12y+6=18-3(16-3y)

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Solution for 12y+6=18-3(16-3y) equation:


Simplifying
12y + 6 = 18 + -3(16 + -3y)

Reorder the terms:
6 + 12y = 18 + -3(16 + -3y)
6 + 12y = 18 + (16 * -3 + -3y * -3)
6 + 12y = 18 + (-48 + 9y)

Combine like terms: 18 + -48 = -30
6 + 12y = -30 + 9y

Solving
6 + 12y = -30 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
6 + 12y + -9y = -30 + 9y + -9y

Combine like terms: 12y + -9y = 3y
6 + 3y = -30 + 9y + -9y

Combine like terms: 9y + -9y = 0
6 + 3y = -30 + 0
6 + 3y = -30

Add '-6' to each side of the equation.
6 + -6 + 3y = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = -30 + -6
3y = -30 + -6

Combine like terms: -30 + -6 = -36
3y = -36

Divide each side by '3'.
y = -12

Simplifying
y = -12

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