7y+(3x+y)=(3x+y)+(2x+y)

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Solution for 7y+(3x+y)=(3x+y)+(2x+y) equation:


Simplifying
7y + (3x + y) = (3x + y) + (2x + y)

Remove parenthesis around (3x + y)
7y + 3x + y = (3x + y) + (2x + y)

Reorder the terms:
3x + 7y + y = (3x + y) + (2x + y)

Combine like terms: 7y + y = 8y
3x + 8y = (3x + y) + (2x + y)

Remove parenthesis around (3x + y)
3x + 8y = 3x + y + (2x + y)

Remove parenthesis around (2x + y)
3x + 8y = 3x + y + 2x + y

Reorder the terms:
3x + 8y = 3x + 2x + y + y

Combine like terms: 3x + 2x = 5x
3x + 8y = 5x + y + y

Combine like terms: y + y = 2y
3x + 8y = 5x + 2y

Solving
3x + 8y = 5x + 2y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3x + -5x + 8y = 5x + -5x + 2y

Combine like terms: 3x + -5x = -2x
-2x + 8y = 5x + -5x + 2y

Combine like terms: 5x + -5x = 0
-2x + 8y = 0 + 2y
-2x + 8y = 2y

Add '-8y' to each side of the equation.
-2x + 8y + -8y = 2y + -8y

Combine like terms: 8y + -8y = 0
-2x + 0 = 2y + -8y
-2x = 2y + -8y

Combine like terms: 2y + -8y = -6y
-2x = -6y

Divide each side by '-2'.
x = 3y

Simplifying
x = 3y

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