y=3(y+2)+6

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Solution for y=3(y+2)+6 equation: 


Simplifying
y = 3(y + 2) + 6

Reorder the terms:
y = 3(2 + y) + 6
y = (2 * 3 + y * 3) + 6
y = (6 + 3y) + 6

Reorder the terms:
y = 6 + 6 + 3y

Combine like terms: 6 + 6 = 12
y = 12 + 3y

Solving
y = 12 + 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.
y + -3y = 12 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
-2y = 12 + 0
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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