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

$$3 ( 2 y + 4 ) = 4 ( 2 y - \frac { 1 } { 2 } )$$

Solve for y

$$y=7$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2y+4.

$$6y+12=4\left(2y-\frac{1}{2}\right)$$

Use the distributive property to multiply 4 by 2y-\frac{1}{2}.

$$6y+12=8y+4\left(-\frac{1}{2}\right)$$

Express 4\left(-\frac{1}{2}\right) as a single fraction.

$$6y+12=8y+\frac{4\left(-1\right)}{2}$$

Multiply 4 and -1 to get -4.

$$6y+12=8y+\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$6y+12=8y-2$$

Subtract 8y from both sides.

$$6y+12-8y=-2$$

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

$$-2y+12=-2$$

Subtract 12 from both sides.

$$-2y=-2-12$$

Subtract 12 from -2 to get -14.

$$-2y=-14$$

Divide both sides by -2.

$$y=\frac{-14}{-2}$$

Divide -14 by -2 to get 7.

$$y=7$$