-2(y-6)=4y-24

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Solution for -2(y-6)=4y-24 equation:


Simplifying
-2(y + -6) = 4y + -24

Reorder the terms:
-2(-6 + y) = 4y + -24
(-6 * -2 + y * -2) = 4y + -24
(12 + -2y) = 4y + -24

Reorder the terms:
12 + -2y = -24 + 4y

Solving
12 + -2y = -24 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + -2y + -4y = -24 + 4y + -4y

Combine like terms: -2y + -4y = -6y
12 + -6y = -24 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -6y = -24 + 0
12 + -6y = -24

Add '-12' to each side of the equation.
12 + -12 + -6y = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -6y = -24 + -12
-6y = -24 + -12

Combine like terms: -24 + -12 = -36
-6y = -36

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

Simplifying
y = 6

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