Solve 16(y+2)=4(3y+4)

$$16 ( y + 2 ) = 4 ( 3 y + 4 )$$

Solve for y

$$y=-4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 16 by y+2.

$$16y+32=4\left(3y+4\right)$$

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

$$16y+32=12y+16$$

Subtract 12y from both sides.

$$16y+32-12y=16$$

Combine 16y and -12y to get 4y.

$$4y+32=16$$

Subtract 32 from both sides.

$$4y=16-32$$

Subtract 32 from 16 to get -16.

$$4y=-16$$

Divide both sides by 4.

$$y=\frac{-16}{4}$$

Divide -16 by 4 to get -4.

$$y=-4$$