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

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


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

Reorder the terms:
3y = 6(-4 + 3y) + 9
3y = (-4 * 6 + 3y * 6) + 9
3y = (-24 + 18y) + 9

Reorder the terms:
3y = -24 + 9 + 18y

Combine like terms: -24 + 9 = -15
3y = -15 + 18y

Solving
3y = -15 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
3y + -18y = -15 + 18y + -18y

Combine like terms: 3y + -18y = -15y
-15y = -15 + 18y + -18y

Combine like terms: 18y + -18y = 0
-15y = -15 + 0
-15y = -15

Divide each side by '-15'.
y = 1

Simplifying
y = 1

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