x-(x*0.1371)-(x-x*0.1371)*0.09-((x-x*0.1371)*0.18-((x-x*0.1371)*0.0775))=y

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Solution for x-(x*0.1371)-(x-x*0.1371)*0.09-((x-x*0.1371)*0.18-((x-x*0.1371)*0.0775))=y equation:


Simplifying
x + -1(x * 0.1371) + -1(x + -1x * 0.1371) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -1(0.1371x) + -1(x + -1x * 0.1371) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Remove parenthesis around (0.1371x)
x + -1 * 0.1371x + -1(x + -1x * 0.1371) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Multiply -1 * 0.1371
x + -0.1371x + -1(x + -1x * 0.1371) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -0.1371x + -1(x + -1 * 0.1371x) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Multiply -1 * 0.1371
x + -0.1371x + -1(x + -0.1371x) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Combine like terms: x + -0.1371x = 0.8629x
x + -0.1371x + -1(0.8629x) * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Remove parenthesis around (0.8629x)
x + -0.1371x + -1 * 0.8629x * 0.09 + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -0.1371x + -1 * 0.8629 * 0.09x + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Multiply -1 * 0.8629
x + -0.1371x + -0.8629 * 0.09x + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Multiply -0.8629 * 0.09
x + -0.1371x + -0.077661x + -1((x + -1x * 0.1371) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -0.1371x + -0.077661x + -1((x + -1 * 0.1371x) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Multiply -1 * 0.1371
x + -0.1371x + -0.077661x + -1((x + -0.1371x) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Combine like terms: x + -0.1371x = 0.8629x
x + -0.1371x + -0.077661x + -1((0.8629x) * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Remove parenthesis around (0.8629x)
x + -0.1371x + -0.077661x + -1(0.8629x * 0.18 + -1((x + -1x * 0.1371) * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -0.1371x + -0.077661x + -1(0.8629 * 0.18x + -1((x + -1x * 0.1371) * 0.0775)) = y

Multiply 0.8629 * 0.18
x + -0.1371x + -0.077661x + -1(0.155322x + -1((x + -1x * 0.1371) * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -0.1371x + -0.077661x + -1(0.155322x + -1((x + -1 * 0.1371x) * 0.0775)) = y

Multiply -1 * 0.1371
x + -0.1371x + -0.077661x + -1(0.155322x + -1((x + -0.1371x) * 0.0775)) = y

Combine like terms: x + -0.1371x = 0.8629x
x + -0.1371x + -0.077661x + -1(0.155322x + -1((0.8629x) * 0.0775)) = y

Remove parenthesis around (0.8629x)
x + -0.1371x + -0.077661x + -1(0.155322x + -1(0.8629x * 0.0775)) = y

Reorder the terms for easier multiplication:
x + -0.1371x + -0.077661x + -1(0.155322x + -1(0.8629 * 0.0775x)) = y

Multiply 0.8629 * 0.0775
x + -0.1371x + -0.077661x + -1(0.155322x + -1(0.06687475x)) = y

Remove parenthesis around (0.06687475x)
x + -0.1371x + -0.077661x + -1(0.155322x + -1 * 0.06687475x) = y

Multiply -1 * 0.06687475
x + -0.1371x + -0.077661x + -1(0.155322x + -0.06687475x) = y

Combine like terms: 0.155322x + -0.06687475x = 0.08844725x
x + -0.1371x + -0.077661x + -1(0.08844725x) = y

Remove parenthesis around (0.08844725x)
x + -0.1371x + -0.077661x + -1 * 0.08844725x = y

Multiply -1 * 0.08844725
x + -0.1371x + -0.077661x + -0.08844725x = y

Combine like terms: x + -0.1371x = 0.8629x
0.8629x + -0.077661x + -0.08844725x = y

Combine like terms: 0.8629x + -0.077661x = 0.785239x
0.785239x + -0.08844725x = y

Combine like terms: 0.785239x + -0.08844725x = 0.69679175x
0.69679175x = y

Solving
0.69679175x = y

Solving for variable 'x'.

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

Divide each side by '0.69679175'.
x = 1.435149024y

Simplifying
x = 1.435149024y

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