y+(3x+5)+(5y-50)=180

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Solution for y+(3x+5)+(5y-50)=180 equation: 


Simplifying
y + (3x + 5) + (5y + -50) = 180

Reorder the terms:
y + (5 + 3x) + (5y + -50) = 180

Remove parenthesis around (5 + 3x)
y + 5 + 3x + (5y + -50) = 180

Reorder the terms:
y + 5 + 3x + (-50 + 5y) = 180

Remove parenthesis around (-50 + 5y)
y + 5 + 3x + -50 + 5y = 180

Reorder the terms:
5 + -50 + 3x + y + 5y = 180

Combine like terms: 5 + -50 = -45
-45 + 3x + y + 5y = 180

Combine like terms: y + 5y = 6y
-45 + 3x + 6y = 180

Solving
-45 + 3x + 6y = 180

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 3x + 45 + 6y = 180 + 45

Reorder the terms:
-45 + 45 + 3x + 6y = 180 + 45

Combine like terms: -45 + 45 = 0
0 + 3x + 6y = 180 + 45
3x + 6y = 180 + 45

Combine like terms: 180 + 45 = 225
3x + 6y = 225

Add '-6y' to each side of the equation.
3x + 6y + -6y = 225 + -6y

Combine like terms: 6y + -6y = 0
3x + 0 = 225 + -6y
3x = 225 + -6y

Divide each side by '3'.
x = 75 + -2y

Simplifying
x = 75 + -2y

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