(Y-2)=2(12-9y)+y

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Solution for (Y-2)=2(12-9y)+y equation:


Simplifying
(Y + -2) = 2(12 + -9y) + y

Reorder the terms:
(-2 + Y) = 2(12 + -9y) + y

Remove parenthesis around (-2 + Y)
-2 + Y = 2(12 + -9y) + y
-2 + Y = (12 * 2 + -9y * 2) + y
-2 + Y = (24 + -18y) + y

Combine like terms: -18y + y = -17y
-2 + Y = 24 + -17y

Solving
-2 + Y = 24 + -17y

Solving for variable 'Y'.

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

Add '2' to each side of the equation.
-2 + 2 + Y = 24 + 2 + -17y

Combine like terms: -2 + 2 = 0
0 + Y = 24 + 2 + -17y
Y = 24 + 2 + -17y

Combine like terms: 24 + 2 = 26
Y = 26 + -17y

Simplifying
Y = 26 + -17y

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