Solve (5.1*10^-2+y)/2.45*10^-2=10^-4.76

$$\frac { ( 5.1 \times 10 ^ { - 2 } + y ) } { 2.45 \times 10 ^ { - 2 } } = 10 ^ { - 4.76 }$$

Solve for y

$$y=\frac{49\times 10^{0.24}}{200000000}-0.051\approx -0.050999574$$

Steps for Solving Linear Equation

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{5.1\times \frac{1}{100}+y}{2.45\times 10^{-2}}=10^{-4.76}$$

Multiply 5.1 and \frac{1}{100} to get \frac{51}{1000}.

$$\frac{\frac{51}{1000}+y}{2.45\times 10^{-2}}=10^{-4.76}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{\frac{51}{1000}+y}{2.45\times \frac{1}{100}}=10^{-4.76}$$

Multiply 2.45 and \frac{1}{100} to get \frac{49}{2000}.

$$\frac{\frac{51}{1000}+y}{\frac{49}{2000}}=10^{-4.76}$$

Divide each term of \frac{51}{1000}+y by \frac{49}{2000} to get \frac{\frac{51}{1000}}{\frac{49}{2000}}+\frac{y}{\frac{49}{2000}}.

$$\frac{\frac{51}{1000}}{\frac{49}{2000}}+\frac{y}{\frac{49}{2000}}=10^{-4.76}$$

Divide \frac{51}{1000} by \frac{49}{2000} by multiplying \frac{51}{1000} by the reciprocal of \frac{49}{2000}.

$$\frac{51}{1000}\times \frac{2000}{49}+\frac{y}{\frac{49}{2000}}=10^{-4.76}$$

Multiply \frac{51}{1000} and \frac{2000}{49} to get \frac{102}{49}.

$$\frac{102}{49}+\frac{y}{\frac{49}{2000}}=10^{-4.76}$$

Subtract \frac{102}{49} from both sides.

$$\frac{y}{\frac{49}{2000}}=10^{-4.76}-\frac{102}{49}$$

The equation is in standard form.

$$\frac{2000}{49}y=\frac{10^{0.24}}{100000}-\frac{102}{49}$$

Divide both sides of the equation by \frac{2000}{49}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2000}{49}y}{\frac{2000}{49}}=\frac{\frac{10^{0.24}}{100000}-\frac{102}{49}}{\frac{2000}{49}}$$

Dividing by \frac{2000}{49} undoes the multiplication by \frac{2000}{49}.

$$y=\frac{\frac{10^{0.24}}{100000}-\frac{102}{49}}{\frac{2000}{49}}$$

Divide \frac{10^{0.24}}{100000}-\frac{102}{49} by \frac{2000}{49} by multiplying \frac{10^{0.24}}{100000}-\frac{102}{49} by the reciprocal of \frac{2000}{49}.

$$y=\frac{49\times 10^{0.24}}{200000000}-\frac{51}{1000}$$