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

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

Solve for y_0

$$y_{0} = -\frac{61}{16} = -3\frac{13}{16} = -3.8125$$

Steps for Solving Linear Equation

Convert -2 to fraction -\frac{32}{16}.

$$y_{0}=-\frac{32}{16}-\frac{25}{16}-\frac{25}{4}+6$$

Since -\frac{32}{16} and \frac{25}{16} have the same denominator, subtract them by subtracting their numerators.

$$y_{0}=\frac{-32-25}{16}-\frac{25}{4}+6$$

Subtract 25 from -32 to get -57.

$$y_{0}=-\frac{57}{16}-\frac{25}{4}+6$$

Least common multiple of 16 and 4 is 16. Convert -\frac{57}{16} and \frac{25}{4} to fractions with denominator 16.

$$y_{0}=-\frac{57}{16}-\frac{100}{16}+6$$

Since -\frac{57}{16} and \frac{100}{16} have the same denominator, subtract them by subtracting their numerators.

$$y_{0}=\frac{-57-100}{16}+6$$

Subtract 100 from -57 to get -157.

$$y_{0}=-\frac{157}{16}+6$$

Convert 6 to fraction \frac{96}{16}.

$$y_{0}=-\frac{157}{16}+\frac{96}{16}$$

Since -\frac{157}{16} and \frac{96}{16} have the same denominator, add them by adding their numerators.

$$y_{0}=\frac{-157+96}{16}$$

Add -157 and 96 to get -61.

$$y_{0}=-\frac{61}{16}$$

Assign y_0

$$y_{0}≔-\frac{61}{16}$$