6y-33=9(y-3)

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Solution for 6y-33=9(y-3) equation:


Simplifying
6y + -33 = 9(y + -3)

Reorder the terms:
-33 + 6y = 9(y + -3)

Reorder the terms:
-33 + 6y = 9(-3 + y)
-33 + 6y = (-3 * 9 + y * 9)
-33 + 6y = (-27 + 9y)

Solving
-33 + 6y = -27 + 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.
-33 + 6y + -9y = -27 + 9y + -9y

Combine like terms: 6y + -9y = -3y
-33 + -3y = -27 + 9y + -9y

Combine like terms: 9y + -9y = 0
-33 + -3y = -27 + 0
-33 + -3y = -27

Add '33' to each side of the equation.
-33 + 33 + -3y = -27 + 33

Combine like terms: -33 + 33 = 0
0 + -3y = -27 + 33
-3y = -27 + 33

Combine like terms: -27 + 33 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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