6(2y-4)=9(y-1)

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Solution for 6(2y-4)=9(y-1) equation:


Simplifying
6(2y + -4) = 9(y + -1)

Reorder the terms:
6(-4 + 2y) = 9(y + -1)
(-4 * 6 + 2y * 6) = 9(y + -1)
(-24 + 12y) = 9(y + -1)

Reorder the terms:
-24 + 12y = 9(-1 + y)
-24 + 12y = (-1 * 9 + y * 9)
-24 + 12y = (-9 + 9y)

Solving
-24 + 12y = -9 + 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 + 12y + -9y = -9 + 9y + -9y

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

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

Add '24' to each side of the equation.
-24 + 24 + 3y = -9 + 24

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

Combine like terms: -9 + 24 = 15
3y = 15

Divide each side by '3'.
y = 5

Simplifying
y = 5

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