6y-36=3(y-9)

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Solution for 6y-36=3(y-9) equation:


Simplifying
6y + -36 = 3(y + -9)

Reorder the terms:
-36 + 6y = 3(y + -9)

Reorder the terms:
-36 + 6y = 3(-9 + y)
-36 + 6y = (-9 * 3 + y * 3)
-36 + 6y = (-27 + 3y)

Solving
-36 + 6y = -27 + 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.
-36 + 6y + -3y = -27 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-36 + 3y = -27 + 3y + -3y

Combine like terms: 3y + -3y = 0
-36 + 3y = -27 + 0
-36 + 3y = -27

Add '36' to each side of the equation.
-36 + 36 + 3y = -27 + 36

Combine like terms: -36 + 36 = 0
0 + 3y = -27 + 36
3y = -27 + 36

Combine like terms: -27 + 36 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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