-9(y-4)=-3y-12

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Solution for -9(y-4)=-3y-12 equation:


Simplifying
-9(y + -4) = -3y + -12

Reorder the terms:
-9(-4 + y) = -3y + -12
(-4 * -9 + y * -9) = -3y + -12
(36 + -9y) = -3y + -12

Reorder the terms:
36 + -9y = -12 + -3y

Solving
36 + -9y = -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.
36 + -9y + 3y = -12 + -3y + 3y

Combine like terms: -9y + 3y = -6y
36 + -6y = -12 + -3y + 3y

Combine like terms: -3y + 3y = 0
36 + -6y = -12 + 0
36 + -6y = -12

Add '-36' to each side of the equation.
36 + -36 + -6y = -12 + -36

Combine like terms: 36 + -36 = 0
0 + -6y = -12 + -36
-6y = -12 + -36

Combine like terms: -12 + -36 = -48
-6y = -48

Divide each side by '-6'.
y = 8

Simplifying
y = 8

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