Solve 3+y/5=-12-4y/-2

$$\frac { 3 + y } { 5 } = \frac { - 12 - 4 y } { - 2 }$$

Solve for y

$$y=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,-2.

$$2\left(3+y\right)=-5\left(-12-4y\right)$$

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

$$6+2y=-5\left(-12-4y\right)$$

Use the distributive property to multiply -5 by -12-4y.

$$6+2y=60+20y$$

Subtract 20y from both sides.

$$6+2y-20y=60$$

Combine 2y and -20y to get -18y.

$$6-18y=60$$

Subtract 6 from both sides.

$$-18y=60-6$$

Subtract 6 from 60 to get 54.

$$-18y=54$$

Divide both sides by -18.

$$y=\frac{54}{-18}$$

Divide 54 by -18 to get -3.

$$y=-3$$