(x+y)-0.015(x+y)=x

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Solution for (x+y)-0.015(x+y)=x equation:


Simplifying
(x + y) + -0.015(x + y) = x

Remove parenthesis around (x + y)
x + y + -0.015(x + y) = x
x + y + (x * -0.015 + y * -0.015) = x
x + y + (-0.015x + -0.015y) = x

Reorder the terms:
x + -0.015x + y + -0.015y = x

Combine like terms: x + -0.015x = 0.985x
0.985x + y + -0.015y = x

Combine like terms: y + -0.015y = 0.985y
0.985x + 0.985y = x

Solving
0.985x + 0.985y = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.985x + -1x + 0.985y = x + -1x

Combine like terms: 0.985x + -1x = -0.015x
-0.015x + 0.985y = x + -1x

Combine like terms: x + -1x = 0
-0.015x + 0.985y = 0

Add '-0.985y' to each side of the equation.
-0.015x + 0.985y + -0.985y = 0 + -0.985y

Combine like terms: 0.985y + -0.985y = 0.000
-0.015x + 0.000 = 0 + -0.985y
-0.015x = 0 + -0.985y
Remove the zero:
-0.015x = -0.985y

Divide each side by '-0.015'.
x = 65.66666667y

Simplifying
x = 65.66666667y

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