Solve for y
y=\frac{x\left(x^{6}+24x-42\right)}{1206}
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1206y=x^{4}x^{3}+24x^{2}-48x+6x
Multiply both sides of the equation by 6, the least common multiple of 2,3.
1206y=x^{7}+24x^{2}-48x+6x
To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.
1206y=x^{7}+24x^{2}-42x
Combine -48x and 6x to get -42x.
\frac{1206y}{1206}=\frac{x\left(x^{6}+24x-42\right)}{1206}
Divide both sides by 1206.
y=\frac{x\left(x^{6}+24x-42\right)}{1206}
Dividing by 1206 undoes the multiplication by 1206.
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