Solve 2(v+5)=3(y-2)

$$2 ( v + 5 ) = 3 ( y - 2 )$$

Solve for v

$$v=\frac{3y}{2}-8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by v+5.

$$2v+10=3\left(y-2\right)$$

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

$$2v+10=3y-6$$

Subtract 10 from both sides.

$$2v=3y-6-10$$

Subtract 10 from -6 to get -16.

$$2v=3y-16$$

Divide both sides by 2.

$$\frac{2v}{2}=\frac{3y-16}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$v=\frac{3y-16}{2}$$

Divide 3y-16 by 2.

$$v=\frac{3y}{2}-8$$

Solve for y

$$y=\frac{2\left(v+8\right)}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by v+5.

$$2v+10=3\left(y-2\right)$$

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

$$2v+10=3y-6$$

Swap sides so that all variable terms are on the left hand side.

$$3y-6=2v+10$$

Add 6 to both sides.

$$3y=2v+10+6$$

Add 10 and 6 to get 16.

$$3y=2v+16$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{2v+16}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{2v+16}{3}$$