(Y-2)-(5y+9)=0

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Solution for (Y-2)-(5y+9)=0 equation:


Simplifying
(Y + -2) + -1(5y + 9) = 0

Reorder the terms:
(-2 + Y) + -1(5y + 9) = 0

Remove parenthesis around (-2 + Y)
-2 + Y + -1(5y + 9) = 0

Reorder the terms:
-2 + Y + -1(9 + 5y) = 0
-2 + Y + (9 * -1 + 5y * -1) = 0
-2 + Y + (-9 + -5y) = 0

Reorder the terms:
-2 + -9 + Y + -5y = 0

Combine like terms: -2 + -9 = -11
-11 + Y + -5y = 0

Solving
-11 + Y + -5y = 0

Solving for variable 'Y'.

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

Add '11' to each side of the equation.
-11 + Y + 11 + -5y = 0 + 11

Reorder the terms:
-11 + 11 + Y + -5y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + Y + -5y = 0 + 11
Y + -5y = 0 + 11

Combine like terms: 0 + 11 = 11
Y + -5y = 11

Add '5y' to each side of the equation.
Y + -5y + 5y = 11 + 5y

Combine like terms: -5y + 5y = 0
Y + 0 = 11 + 5y
Y = 11 + 5y

Simplifying
Y = 11 + 5y

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