Solve 2*10^3-frac{2*10^4*10sqrt{6}}{60}=y

$$2 \times 10 ^ { 3 } - \frac { 2 \times 10 ^ { 4 } \times 10 \sqrt { 6 } } { 60 } = y$$

Solve for y

$$y=-\frac{10000\sqrt{6}}{3}+2000\approx -6164.965809277$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$2\times 10^{3}-\frac{2\times 10^{5}\sqrt{6}}{60}=y$$

Calculate 10 to the power of 3 and get 1000.

$$2\times 1000-\frac{2\times 10^{5}\sqrt{6}}{60}=y$$

Multiply 2 and 1000 to get 2000.

$$2000-\frac{2\times 10^{5}\sqrt{6}}{60}=y$$

Calculate 10 to the power of 5 and get 100000.

$$2000-\frac{2\times 100000\sqrt{6}}{60}=y$$

Multiply 2 and 100000 to get 200000.

$$2000-\frac{200000\sqrt{6}}{60}=y$$

Divide 200000\sqrt{6} by 60 to get \frac{10000}{3}\sqrt{6}.

$$2000-\frac{10000}{3}\sqrt{6}=y$$

Swap sides so that all variable terms are on the left hand side.

$$y=2000-\frac{10000}{3}\sqrt{6}$$