-9(y-1)=-3y-33

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Solution for -9(y-1)=-3y-33 equation: 


Simplifying
-9(y + -1) = -3y + -33

Reorder the terms:
-9(-1 + y) = -3y + -33
(-1 * -9 + y * -9) = -3y + -33
(9 + -9y) = -3y + -33

Reorder the terms:
9 + -9y = -33 + -3y

Solving
9 + -9y = -33 + -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.
9 + -9y + 3y = -33 + -3y + 3y

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

Combine like terms: -3y + 3y = 0
9 + -6y = -33 + 0
9 + -6y = -33

Add '-9' to each side of the equation.
9 + -9 + -6y = -33 + -9

Combine like terms: 9 + -9 = 0
0 + -6y = -33 + -9
-6y = -33 + -9

Combine like terms: -33 + -9 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7

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