Solve 6(y-1,3)-3,4>4y

$$6 ( y - 1,3 ) - 3,4 > 4 y$$

Solve for y

$$y>\frac{28}{5}$$

Solution Steps

Use the distributive property to multiply 6 by y-1,3.

$$6y-7,8-3,4>4y$$

Subtract 3,4 from -7,8 to get -11,2.

$$6y-11,2>4y$$

Subtract 4y from both sides.

$$6y-11,2-4y>0$$

Combine 6y and -4y to get 2y.

$$2y-11,2>0$$

Add 11,2 to both sides. Anything plus zero gives itself.

$$2y>11,2$$

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$y>\frac{11,2}{2}$$

Expand \frac{11,2}{2} by multiplying both numerator and the denominator by 10.

$$y>\frac{112}{20}$$

Reduce the fraction \frac{112}{20} to lowest terms by extracting and canceling out 4.

$$y>\frac{28}{5}$$