(x+Y)+4(x-y)=

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


Simplifying
(x + Y) + 4(x + -1y) = 0

Reorder the terms:
(Y + x) + 4(x + -1y) = 0

Remove parenthesis around (Y + x)
Y + x + 4(x + -1y) = 0
Y + x + (x * 4 + -1y * 4) = 0
Y + x + (4x + -4y) = 0

Combine like terms: x + 4x = 5x
Y + 5x + -4y = 0

Solving
Y + 5x + -4y = 0

Solving for variable 'Y'.

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

Add '-5x' to each side of the equation.
Y + 5x + -5x + -4y = 0 + -5x

Combine like terms: 5x + -5x = 0
Y + 0 + -4y = 0 + -5x
Y + -4y = 0 + -5x
Remove the zero:
Y + -4y = -5x

Add '4y' to each side of the equation.
Y + -4y + 4y = -5x + 4y

Combine like terms: -4y + 4y = 0
Y + 0 = -5x + 4y
Y = -5x + 4y

Simplifying
Y = -5x + 4y

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