Solve for n
n=\frac{2\left(y-4\right)}{5}
Solve for y
y=\frac{5n}{2}+4
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y=4+\frac{5}{2}n
Divide each term of 8+5n by 2 to get 4+\frac{5}{2}n.
4+\frac{5}{2}n=y
Swap sides so that all variable terms are on the left hand side.
\frac{5}{2}n=y-4
Subtract 4 from both sides.
\frac{\frac{5}{2}n}{\frac{5}{2}}=\frac{y-4}{\frac{5}{2}}
Divide both sides of the equation by \frac{5}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.
n=\frac{y-4}{\frac{5}{2}}
Dividing by \frac{5}{2} undoes the multiplication by \frac{5}{2}.
n=\frac{2y-8}{5}
Divide y-4 by \frac{5}{2} by multiplying y-4 by the reciprocal of \frac{5}{2}.
y=4+\frac{5}{2}n
Divide each term of 8+5n by 2 to get 4+\frac{5}{2}n.
Examples
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y = 3x + 4
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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