Solve 2(-26/6)-4y=-26

$$2(- \frac{ 26 }{ 6 } )-4y=-26$$

Solve for y

$$y = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$2\left(-\frac{13}{3}\right)-4y=-26$$

Express 2\left(-\frac{13}{3}\right) as a single fraction.

$$\frac{2\left(-13\right)}{3}-4y=-26$$

Multiply 2 and -13 to get -26.

$$\frac{-26}{3}-4y=-26$$

Fraction \frac{-26}{3} can be rewritten as -\frac{26}{3} by extracting the negative sign.

$$-\frac{26}{3}-4y=-26$$

Add \frac{26}{3} to both sides.

$$-4y=-26+\frac{26}{3}$$

Convert -26 to fraction -\frac{78}{3}.

$$-4y=-\frac{78}{3}+\frac{26}{3}$$

Since -\frac{78}{3} and \frac{26}{3} have the same denominator, add them by adding their numerators.

$$-4y=\frac{-78+26}{3}$$

Add -78 and 26 to get -52.

$$-4y=-\frac{52}{3}$$

Divide both sides by -4.

$$y=\frac{-\frac{52}{3}}{-4}$$

Express \frac{-\frac{52}{3}}{-4} as a single fraction.

$$y=\frac{-52}{3\left(-4\right)}$$

Multiply 3 and -4 to get -12.

$$y=\frac{-52}{-12}$$

Reduce the fraction \frac{-52}{-12} to lowest terms by extracting and canceling out -4.

$$y=\frac{13}{3}$$