Solve y=1.854+2.126-1.854/0.7-0.6(0.7-0.6)

$$y = 1.854 + \frac { 2.126 - 1.854 } { 0.7 - 0.6 } ( 0.7 - 0.6 )$$

Solve for y

$$y=2.126$$

Steps for Solving Linear Equation

Subtract 1.854 from 2.126 to get 0.272.

$$y=1.854+\frac{0.272}{0.7-0.6}\left(0.7-0.6\right)$$

Subtract 0.6 from 0.7 to get 0.1.

$$y=1.854+\frac{0.272}{0.1}\left(0.7-0.6\right)$$

Expand \frac{0.272}{0.1} by multiplying both numerator and the denominator by 1000.

$$y=1.854+\frac{272}{100}\left(0.7-0.6\right)$$

Reduce the fraction \frac{272}{100} to lowest terms by extracting and canceling out 4.

$$y=1.854+\frac{68}{25}\left(0.7-0.6\right)$$

Subtract 0.6 from 0.7 to get 0.1.

$$y=1.854+\frac{68}{25}\times 0.1$$

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$y=1.854+\frac{68}{25}\times \frac{1}{10}$$

Multiply \frac{68}{25} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$y=1.854+\frac{68\times 1}{25\times 10}$$

Do the multiplications in the fraction \frac{68\times 1}{25\times 10}.

$$y=1.854+\frac{68}{250}$$

Reduce the fraction \frac{68}{250} to lowest terms by extracting and canceling out 2.

$$y=1.854+\frac{34}{125}$$

Convert decimal number 1.854 to fraction \frac{1854}{1000}. Reduce the fraction \frac{1854}{1000} to lowest terms by extracting and canceling out 2.

$$y=\frac{927}{500}+\frac{34}{125}$$

Least common multiple of 500 and 125 is 500. Convert \frac{927}{500} and \frac{34}{125} to fractions with denominator 500.

$$y=\frac{927}{500}+\frac{136}{500}$$

Since \frac{927}{500} and \frac{136}{500} have the same denominator, add them by adding their numerators.

$$y=\frac{927+136}{500}$$

Add 927 and 136 to get 1063.

$$y=\frac{1063}{500}$$

Assign y

$$y≔2.126$$