Solve y=-5(204/47)+12

$$y = - 5 ( \frac { 204 } { 47 } ) + 12$$

Solve for y

$$y = -\frac{456}{47} = -9\frac{33}{47} \approx -9.70212766$$

Steps for Solving Linear Equation

Express -5\times \frac{204}{47} as a single fraction.

$$y=\frac{-5\times 204}{47}+12$$

Multiply -5 and 204 to get -1020.

$$y=\frac{-1020}{47}+12$$

Fraction \frac{-1020}{47} can be rewritten as -\frac{1020}{47} by extracting the negative sign.

$$y=-\frac{1020}{47}+12$$

Convert 12 to fraction \frac{564}{47}.

$$y=-\frac{1020}{47}+\frac{564}{47}$$

Since -\frac{1020}{47} and \frac{564}{47} have the same denominator, add them by adding their numerators.

$$y=\frac{-1020+564}{47}$$

Add -1020 and 564 to get -456.

$$y=-\frac{456}{47}$$

Assign y

$$y≔-\frac{456}{47}$$