3y-9=6(y-4)

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Solution for 3y-9=6(y-4) equation:


Simplifying
3y + -9 = 6(y + -4)

Reorder the terms:
-9 + 3y = 6(y + -4)

Reorder the terms:
-9 + 3y = 6(-4 + y)
-9 + 3y = (-4 * 6 + y * 6)
-9 + 3y = (-24 + 6y)

Solving
-9 + 3y = -24 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-9 + 3y + -6y = -24 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-9 + -3y = -24 + 0
-9 + -3y = -24

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

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

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

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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