10x+y=4(x+y)

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Solution for 10x+y=4(x+y) equation:


Simplifying
10x + y = 4(x + y)
10x + y = (x * 4 + y * 4)
10x + y = (4x + 4y)

Solving
10x + y = 4x + 4y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10x + -4x + y = 4x + -4x + 4y

Combine like terms: 10x + -4x = 6x
6x + y = 4x + -4x + 4y

Combine like terms: 4x + -4x = 0
6x + y = 0 + 4y
6x + y = 4y

Add '-1y' to each side of the equation.
6x + y + -1y = 4y + -1y

Combine like terms: y + -1y = 0
6x + 0 = 4y + -1y
6x = 4y + -1y

Combine like terms: 4y + -1y = 3y
6x = 3y

Divide each side by '6'.
x = 0.5y

Simplifying
x = 0.5y

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