2(x+1)=2y+9-4(y-3)

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Solution for 2(x+1)=2y+9-4(y-3) equation: 


Simplifying
2(x + 1) = 2y + 9 + -4(y + -3)

Reorder the terms:
2(1 + x) = 2y + 9 + -4(y + -3)
(1 * 2 + x * 2) = 2y + 9 + -4(y + -3)
(2 + 2x) = 2y + 9 + -4(y + -3)

Reorder the terms:
2 + 2x = 2y + 9 + -4(-3 + y)
2 + 2x = 2y + 9 + (-3 * -4 + y * -4)
2 + 2x = 2y + 9 + (12 + -4y)

Reorder the terms:
2 + 2x = 9 + 12 + 2y + -4y

Combine like terms: 9 + 12 = 21
2 + 2x = 21 + 2y + -4y

Combine like terms: 2y + -4y = -2y
2 + 2x = 21 + -2y

Solving
2 + 2x = 21 + -2y

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 21 + -2 + -2y

Combine like terms: 2 + -2 = 0
0 + 2x = 21 + -2 + -2y
2x = 21 + -2 + -2y

Combine like terms: 21 + -2 = 19
2x = 19 + -2y

Divide each side by '2'.
x = 9.5 + -1y

Simplifying
x = 9.5 + -1y

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