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11.78+0.092834x=Y
Swap sides so that all variable terms are on the left hand side.
0.092834x=Y-11.78
Subtract 11.78 from both sides.
\frac{0.092834x}{0.092834}=\frac{Y-11.78}{0.092834}
Divide both sides of the equation by 0.092834, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{Y-11.78}{0.092834}
Dividing by 0.092834 undoes the multiplication by 0.092834.
x=\frac{500000Y}{46417}-\frac{310000}{2443}
Divide Y-11.78 by 0.092834 by multiplying Y-11.78 by the reciprocal of 0.092834.