Solve y_{0}=-2*25/16-25/4+6

$$y _ { 0 } = - 2 \cdot \frac { 25 } { 16 } - \frac { 25 } { 4 } + 6$$

Solve for y_0

$$y_{0} = -\frac{27}{8} = -3\frac{3}{8} = -3.375$$

Steps for Solving Linear Equation

Express -2\times \frac{25}{16} as a single fraction.

$$y_{0}=\frac{-2\times 25}{16}-\frac{25}{4}+6$$

Multiply -2 and 25 to get -50.

$$y_{0}=\frac{-50}{16}-\frac{25}{4}+6$$

Reduce the fraction \frac{-50}{16} to lowest terms by extracting and canceling out 2.

$$y_{0}=-\frac{25}{8}-\frac{25}{4}+6$$

Least common multiple of 8 and 4 is 8. Convert -\frac{25}{8} and \frac{25}{4} to fractions with denominator 8.

$$y_{0}=-\frac{25}{8}-\frac{50}{8}+6$$

Since -\frac{25}{8} and \frac{50}{8} have the same denominator, subtract them by subtracting their numerators.

$$y_{0}=\frac{-25-50}{8}+6$$

Subtract 50 from -25 to get -75.

$$y_{0}=-\frac{75}{8}+6$$

Convert 6 to fraction \frac{48}{8}.

$$y_{0}=-\frac{75}{8}+\frac{48}{8}$$

Since -\frac{75}{8} and \frac{48}{8} have the same denominator, add them by adding their numerators.

$$y_{0}=\frac{-75+48}{8}$$

Add -75 and 48 to get -27.

$$y_{0}=-\frac{27}{8}$$

Assign y_0

$$y_{0}≔-\frac{27}{8}$$