y+(2x+4)+(3y+8)=180

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Solution for y+(2x+4)+(3y+8)=180 equation:


Simplifying
y + (2x + 4) + (3y + 8) = 180

Reorder the terms:
y + (4 + 2x) + (3y + 8) = 180

Remove parenthesis around (4 + 2x)
y + 4 + 2x + (3y + 8) = 180

Reorder the terms:
y + 4 + 2x + (8 + 3y) = 180

Remove parenthesis around (8 + 3y)
y + 4 + 2x + 8 + 3y = 180

Reorder the terms:
4 + 8 + 2x + y + 3y = 180

Combine like terms: 4 + 8 = 12
12 + 2x + y + 3y = 180

Combine like terms: y + 3y = 4y
12 + 2x + 4y = 180

Solving
12 + 2x + 4y = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 2x + -12 + 4y = 180 + -12

Reorder the terms:
12 + -12 + 2x + 4y = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 2x + 4y = 180 + -12
2x + 4y = 180 + -12

Combine like terms: 180 + -12 = 168
2x + 4y = 168

Add '-4y' to each side of the equation.
2x + 4y + -4y = 168 + -4y

Combine like terms: 4y + -4y = 0
2x + 0 = 168 + -4y
2x = 168 + -4y

Divide each side by '2'.
x = 84 + -2y

Simplifying
x = 84 + -2y

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