6y-24=9(y-4)

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Solution for 6y-24=9(y-4) equation:


Simplifying
6y + -24 = 9(y + -4)

Reorder the terms:
-24 + 6y = 9(y + -4)

Reorder the terms:
-24 + 6y = 9(-4 + y)
-24 + 6y = (-4 * 9 + y * 9)
-24 + 6y = (-36 + 9y)

Solving
-24 + 6y = -36 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-24 + 6y + -9y = -36 + 9y + -9y

Combine like terms: 6y + -9y = -3y
-24 + -3y = -36 + 9y + -9y

Combine like terms: 9y + -9y = 0
-24 + -3y = -36 + 0
-24 + -3y = -36

Add '24' to each side of the equation.
-24 + 24 + -3y = -36 + 24

Combine like terms: -24 + 24 = 0
0 + -3y = -36 + 24
-3y = -36 + 24

Combine like terms: -36 + 24 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4

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