(Y-5)-(y-4)=3y

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Solution for (Y-5)-(y-4)=3y equation:


Simplifying
(Y + -5) + -1(y + -4) = 3y

Reorder the terms:
(-5 + Y) + -1(y + -4) = 3y

Remove parenthesis around (-5 + Y)
-5 + Y + -1(y + -4) = 3y

Reorder the terms:
-5 + Y + -1(-4 + y) = 3y
-5 + Y + (-4 * -1 + y * -1) = 3y
-5 + Y + (4 + -1y) = 3y

Reorder the terms:
-5 + 4 + Y + -1y = 3y

Combine like terms: -5 + 4 = -1
-1 + Y + -1y = 3y

Solving
-1 + Y + -1y = 3y

Solving for variable 'Y'.

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

Add '1' to each side of the equation.
-1 + Y + 1 + -1y = 1 + 3y

Reorder the terms:
-1 + 1 + Y + -1y = 1 + 3y

Combine like terms: -1 + 1 = 0
0 + Y + -1y = 1 + 3y
Y + -1y = 1 + 3y

Add 'y' to each side of the equation.
Y + -1y + y = 1 + 3y + y

Combine like terms: -1y + y = 0
Y + 0 = 1 + 3y + y
Y = 1 + 3y + y

Combine like terms: 3y + y = 4y
Y = 1 + 4y

Simplifying
Y = 1 + 4y

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