Solve 4(2y-1)>-7+2y

$$4 ( 2 y - 1 ) > - 7 + 2 y$$

Solve for y

$$y>-\frac{1}{2}$$

Solution Steps

Use the distributive property to multiply 4 by 2y-1.

$$8y-4>-7+2y$$

Subtract 2y from both sides.

$$8y-4-2y>-7$$

Combine 8y and -2y to get 6y.

$$6y-4>-7$$

Add 4 to both sides.

$$6y>-7+4$$

Add -7 and 4 to get -3.

$$6y>-3$$

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$$y>\frac{-3}{6}$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

$$y>-\frac{1}{2}$$