Solve 4/7y+2/7=6

$$\frac { 4 } { 7 } y + \frac { 2 } { 7 } = 6$$

Solve for y

$$y=10$$

Steps for Solving Linear Equation

Subtract \frac{2}{7} from both sides.

$$\frac{4}{7}y=6-\frac{2}{7}$$

Convert 6 to fraction \frac{42}{7}.

$$\frac{4}{7}y=\frac{42}{7}-\frac{2}{7}$$

Since \frac{42}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{7}y=\frac{42-2}{7}$$

Subtract 2 from 42 to get 40.

$$\frac{4}{7}y=\frac{40}{7}$$

Multiply both sides by \frac{7}{4}, the reciprocal of \frac{4}{7}.

$$y=\frac{40}{7}\times \frac{7}{4}$$

Multiply \frac{40}{7} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{40\times 7}{7\times 4}$$

Cancel out 7 in both numerator and denominator.

$$y=\frac{40}{4}$$

Divide 40 by 4 to get 10.

$$y=10$$