6y-24=-3(y-4)

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Solution for 6y-24=-3(y-4) equation:


Simplifying
6y + -24 = -3(y + -4)

Reorder the terms:
-24 + 6y = -3(y + -4)

Reorder the terms:
-24 + 6y = -3(-4 + y)
-24 + 6y = (-4 * -3 + y * -3)
-24 + 6y = (12 + -3y)

Solving
-24 + 6y = 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.
-24 + 6y + 3y = 12 + -3y + 3y

Combine like terms: 6y + 3y = 9y
-24 + 9y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
-24 + 9y = 12 + 0
-24 + 9y = 12

Add '24' to each side of the equation.
-24 + 24 + 9y = 12 + 24

Combine like terms: -24 + 24 = 0
0 + 9y = 12 + 24
9y = 12 + 24

Combine like terms: 12 + 24 = 36
9y = 36

Divide each side by '9'.
y = 4

Simplifying
y = 4

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