13-(2x+2)=3y+2(y+2)

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Solution for 13-(2x+2)=3y+2(y+2) equation: 


Simplifying
13 + -1(2x + 2) = 3y + 2(y + 2)

Reorder the terms:
13 + -1(2 + 2x) = 3y + 2(y + 2)
13 + (2 * -1 + 2x * -1) = 3y + 2(y + 2)
13 + (-2 + -2x) = 3y + 2(y + 2)

Combine like terms: 13 + -2 = 11
11 + -2x = 3y + 2(y + 2)

Reorder the terms:
11 + -2x = 3y + 2(2 + y)
11 + -2x = 3y + (2 * 2 + y * 2)
11 + -2x = 3y + (4 + 2y)

Reorder the terms:
11 + -2x = 4 + 3y + 2y

Combine like terms: 3y + 2y = 5y
11 + -2x = 4 + 5y

Solving
11 + -2x = 4 + 5y

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 4 + -11 + 5y

Combine like terms: 11 + -11 = 0
0 + -2x = 4 + -11 + 5y
-2x = 4 + -11 + 5y

Combine like terms: 4 + -11 = -7
-2x = -7 + 5y

Divide each side by '-2'.
x = 3.5 + -2.5y

Simplifying
x = 3.5 + -2.5y

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