6y=3(y-9)+6

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Solution for 6y=3(y-9)+6 equation:


Simplifying
6y = 3(y + -9) + 6

Reorder the terms:
6y = 3(-9 + y) + 6
6y = (-9 * 3 + y * 3) + 6
6y = (-27 + 3y) + 6

Reorder the terms:
6y = -27 + 6 + 3y

Combine like terms: -27 + 6 = -21
6y = -21 + 3y

Solving
6y = -21 + 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.
6y + -3y = -21 + 3y + -3y

Combine like terms: 6y + -3y = 3y
3y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
3y = -21 + 0
3y = -21

Divide each side by '3'.
y = -7

Simplifying
y = -7

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