Solve 6y-5+2y=10/3

$$6y-5+2y= \frac{ 10 }{ 3 }$$

Solve for y

$$y = \frac{25}{24} = 1\frac{1}{24} \approx 1.041666667$$

Steps for Solving Linear Equation

Combine 6y and 2y to get 8y.

$$8y-5=\frac{10}{3}$$

Add 5 to both sides.

$$8y=\frac{10}{3}+5$$

Convert 5 to fraction \frac{15}{3}.

$$8y=\frac{10}{3}+\frac{15}{3}$$

Since \frac{10}{3} and \frac{15}{3} have the same denominator, add them by adding their numerators.

$$8y=\frac{10+15}{3}$$

Add 10 and 15 to get 25.

$$8y=\frac{25}{3}$$

Divide both sides by 8.

$$y=\frac{\frac{25}{3}}{8}$$

Express \frac{\frac{25}{3}}{8} as a single fraction.

$$y=\frac{25}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$y=\frac{25}{24}$$