Solve 6(4-y)=3(2y+1)

$$6 ( 4 - y ) = 3 ( 2 y + 1 )$$

Solve for y

$$y = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 4-y.

$$24-6y=3\left(2y+1\right)$$

Use the distributive property to multiply 3 by 2y+1.

$$24-6y=6y+3$$

Subtract 6y from both sides.

$$24-6y-6y=3$$

Combine -6y and -6y to get -12y.

$$24-12y=3$$

Subtract 24 from both sides.

$$-12y=3-24$$

Subtract 24 from 3 to get -21.

$$-12y=-21$$

Divide both sides by -12.

$$y=\frac{-21}{-12}$$

Reduce the fraction \frac{-21}{-12} to lowest terms by extracting and canceling out -3.

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