(Y-5)-(y+9)=4y

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Solution for (Y-5)-(y+9)=4y equation:


Simplifying
(Y + -5) + -1(y + 9) = 4y

Reorder the terms:
(-5 + Y) + -1(y + 9) = 4y

Remove parenthesis around (-5 + Y)
-5 + Y + -1(y + 9) = 4y

Reorder the terms:
-5 + Y + -1(9 + y) = 4y
-5 + Y + (9 * -1 + y * -1) = 4y
-5 + Y + (-9 + -1y) = 4y

Reorder the terms:
-5 + -9 + Y + -1y = 4y

Combine like terms: -5 + -9 = -14
-14 + Y + -1y = 4y

Solving
-14 + Y + -1y = 4y

Solving for variable 'Y'.

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

Add '14' to each side of the equation.
-14 + Y + 14 + -1y = 14 + 4y

Reorder the terms:
-14 + 14 + Y + -1y = 14 + 4y

Combine like terms: -14 + 14 = 0
0 + Y + -1y = 14 + 4y
Y + -1y = 14 + 4y

Add 'y' to each side of the equation.
Y + -1y + y = 14 + 4y + y

Combine like terms: -1y + y = 0
Y + 0 = 14 + 4y + y
Y = 14 + 4y + y

Combine like terms: 4y + y = 5y
Y = 14 + 5y

Simplifying
Y = 14 + 5y

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