2x+4y=2(x+y)+18

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Solution for 2x+4y=2(x+y)+18 equation:


Simplifying
2x + 4y = 2(x + y) + 18
2x + 4y = (x * 2 + y * 2) + 18
2x + 4y = (2x + 2y) + 18

Reorder the terms:
2x + 4y = 18 + 2x + 2y

Add '-2x' to each side of the equation.
2x + -2x + 4y = 18 + 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
0 + 4y = 18 + 2x + -2x + 2y
4y = 18 + 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
4y = 18 + 0 + 2y
4y = 18 + 2y

Solving
4y = 18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
4y + -2y = 18 + 2y + -2y

Combine like terms: 4y + -2y = 2y
2y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
2y = 18 + 0
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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