y+(4x+5)+(8y-75)=180

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Solution for y+(4x+5)+(8y-75)=180 equation:


Simplifying
y + (4x + 5) + (8y + -75) = 180

Reorder the terms:
y + (5 + 4x) + (8y + -75) = 180

Remove parenthesis around (5 + 4x)
y + 5 + 4x + (8y + -75) = 180

Reorder the terms:
y + 5 + 4x + (-75 + 8y) = 180

Remove parenthesis around (-75 + 8y)
y + 5 + 4x + -75 + 8y = 180

Reorder the terms:
5 + -75 + 4x + y + 8y = 180

Combine like terms: 5 + -75 = -70
-70 + 4x + y + 8y = 180

Combine like terms: y + 8y = 9y
-70 + 4x + 9y = 180

Solving
-70 + 4x + 9y = 180

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + 4x + 70 + 9y = 180 + 70

Reorder the terms:
-70 + 70 + 4x + 9y = 180 + 70

Combine like terms: -70 + 70 = 0
0 + 4x + 9y = 180 + 70
4x + 9y = 180 + 70

Combine like terms: 180 + 70 = 250
4x + 9y = 250

Add '-9y' to each side of the equation.
4x + 9y + -9y = 250 + -9y

Combine like terms: 9y + -9y = 0
4x + 0 = 250 + -9y
4x = 250 + -9y

Divide each side by '4'.
x = 62.5 + -2.25y

Simplifying
x = 62.5 + -2.25y

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