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

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


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

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

Reorder the terms:
-24 + 6y = -4(-4 + y)
-24 + 6y = (-4 * -4 + y * -4)
-24 + 6y = (16 + -4y)

Solving
-24 + 6y = 16 + -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.
-24 + 6y + 4y = 16 + -4y + 4y

Combine like terms: 6y + 4y = 10y
-24 + 10y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
-24 + 10y = 16 + 0
-24 + 10y = 16

Add '24' to each side of the equation.
-24 + 24 + 10y = 16 + 24

Combine like terms: -24 + 24 = 0
0 + 10y = 16 + 24
10y = 16 + 24

Combine like terms: 16 + 24 = 40
10y = 40

Divide each side by '10'.
y = 4

Simplifying
y = 4

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