Solve 6/7=y+2/8

$$\frac { 6 } { 7 } = \frac { y + 2 } { 8 }$$

Solve for y

$$y = \frac{34}{7} = 4\frac{6}{7} \approx 4.857142857$$

Steps for Solving Linear Equation

Multiply both sides by 8.

$$\frac{6}{7}\times 8=y+2$$

Express \frac{6}{7}\times 8 as a single fraction.

$$\frac{6\times 8}{7}=y+2$$

Multiply 6 and 8 to get 48.

$$\frac{48}{7}=y+2$$

Swap sides so that all variable terms are on the left hand side.

$$y+2=\frac{48}{7}$$

Subtract 2 from both sides.

$$y=\frac{48}{7}-2$$

Convert 2 to fraction \frac{14}{7}.

$$y=\frac{48}{7}-\frac{14}{7}$$

Since \frac{48}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{48-14}{7}$$

Subtract 14 from 48 to get 34.

$$y=\frac{34}{7}$$