Solve 90-y+25^2/sqrt[3]{8*5-sin6}=2

$$\frac { 90 - y + 25 ^ { 2 } } { \sqrt[ 3 ] { 8 } \times 5 - \sin 6 } = 2$$

Solve for y

$$y=695.20905692653530692$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{90 - y + 25 ^ {2}}{\sqrt[3]{8} \cdot 5 - 0.10452846326765346} = 2$$

Calculate 25 to the power of 2 and get 625.

$$\frac{90-y+625}{\sqrt[3]{8}\times 5-0.10452846326765346}=2$$

Add 90 and 625 to get 715.

$$\frac{715-y}{\sqrt[3]{8}\times 5-0.10452846326765346}=2$$

Calculate \sqrt[3]{8} and get 2.

$$\frac{715-y}{2\times 5-0.10452846326765346}=2$$

Multiply 2 and 5 to get 10.

$$\frac{715-y}{10-0.10452846326765346}=2$$

Subtract 0.10452846326765346 from 10 to get 9.89547153673234654.

$$\frac{715-y}{9.89547153673234654}=2$$

Divide each term of 715-y by 9.89547153673234654 to get \frac{715}{9.89547153673234654}+\frac{-y}{9.89547153673234654}.

$$\frac{715}{9.89547153673234654}+\frac{-y}{9.89547153673234654}=2$$

Expand \frac{715}{9.89547153673234654} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{71500000000000000000}{989547153673234654}+\frac{-y}{9.89547153673234654}=2$$

Reduce the fraction \frac{71500000000000000000}{989547153673234654} to lowest terms by extracting and canceling out 2.

$$\frac{35750000000000000000}{494773576836617327}+\frac{-y}{9.89547153673234654}=2$$

Divide -y by 9.89547153673234654 to get -\frac{50000000000000000}{494773576836617327}y.

$$\frac{35750000000000000000}{494773576836617327}-\frac{50000000000000000}{494773576836617327}y=2$$

Subtract \frac{35750000000000000000}{494773576836617327} from both sides.

$$-\frac{50000000000000000}{494773576836617327}y=2-\frac{35750000000000000000}{494773576836617327}$$

Subtract \frac{35750000000000000000}{494773576836617327} from 2 to get -\frac{34760452846326765346}{494773576836617327}.

$$-\frac{50000000000000000}{494773576836617327}y=-\frac{34760452846326765346}{494773576836617327}$$

Divide both sides by -\frac{50000000000000000}{494773576836617327}.

$$y=\frac{-\frac{34760452846326765346}{494773576836617327}}{-\frac{50000000000000000}{494773576836617327}}$$

Express \frac{-\frac{34760452846326765346}{494773576836617327}}{-\frac{50000000000000000}{494773576836617327}} as a single fraction.

$$y=\frac{-34760452846326765346}{494773576836617327\left(-\frac{50000000000000000}{494773576836617327}\right)}$$

Multiply 494773576836617327 and -\frac{50000000000000000}{494773576836617327} to get -50000000000000000.

$$y=\frac{-34760452846326765346}{-50000000000000000}$$

Reduce the fraction \frac{-34760452846326765346}{-50000000000000000} to lowest terms by extracting and canceling out -2.

$$y=\frac{17380226423163382673}{25000000000000000}$$