y+(2x+5)+(5y-15)=180

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Solution for y+(2x+5)+(5y-15)=180 equation:


Simplifying
y + (2x + 5) + (5y + -15) = 180

Reorder the terms:
y + (5 + 2x) + (5y + -15) = 180

Remove parenthesis around (5 + 2x)
y + 5 + 2x + (5y + -15) = 180

Reorder the terms:
y + 5 + 2x + (-15 + 5y) = 180

Remove parenthesis around (-15 + 5y)
y + 5 + 2x + -15 + 5y = 180

Reorder the terms:
5 + -15 + 2x + y + 5y = 180

Combine like terms: 5 + -15 = -10
-10 + 2x + y + 5y = 180

Combine like terms: y + 5y = 6y
-10 + 2x + 6y = 180

Solving
-10 + 2x + 6y = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 2x + 10 + 6y = 180 + 10

Reorder the terms:
-10 + 10 + 2x + 6y = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 2x + 6y = 180 + 10
2x + 6y = 180 + 10

Combine like terms: 180 + 10 = 190
2x + 6y = 190

Add '-6y' to each side of the equation.
2x + 6y + -6y = 190 + -6y

Combine like terms: 6y + -6y = 0
2x + 0 = 190 + -6y
2x = 190 + -6y

Divide each side by '2'.
x = 95 + -3y

Simplifying
x = 95 + -3y

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