9(11-y)=3(3y-9)

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Solution for 9(11-y)=3(3y-9) equation:


Simplifying
9(11 + -1y) = 3(3y + -9)
(11 * 9 + -1y * 9) = 3(3y + -9)
(99 + -9y) = 3(3y + -9)

Reorder the terms:
99 + -9y = 3(-9 + 3y)
99 + -9y = (-9 * 3 + 3y * 3)
99 + -9y = (-27 + 9y)

Solving
99 + -9y = -27 + 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.
99 + -9y + -9y = -27 + 9y + -9y

Combine like terms: -9y + -9y = -18y
99 + -18y = -27 + 9y + -9y

Combine like terms: 9y + -9y = 0
99 + -18y = -27 + 0
99 + -18y = -27

Add '-99' to each side of the equation.
99 + -99 + -18y = -27 + -99

Combine like terms: 99 + -99 = 0
0 + -18y = -27 + -99
-18y = -27 + -99

Combine like terms: -27 + -99 = -126
-18y = -126

Divide each side by '-18'.
y = 7

Simplifying
y = 7

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