-4(y-9)=2y+12

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Solution for -4(y-9)=2y+12 equation: 


Simplifying
-4(y + -9) = 2y + 12

Reorder the terms:
-4(-9 + y) = 2y + 12
(-9 * -4 + y * -4) = 2y + 12
(36 + -4y) = 2y + 12

Reorder the terms:
36 + -4y = 12 + 2y

Solving
36 + -4y = 12 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.
36 + -4y + -2y = 12 + 2y + -2y

Combine like terms: -4y + -2y = -6y
36 + -6y = 12 + 2y + -2y

Combine like terms: 2y + -2y = 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 = -24
-6y = -24

Divide each side by '-6'.
y = 4

Simplifying
y = 4

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