Solve 2y+3/3y+2=5/10

$$\frac { 2 y + 3 } { 3 y + 2 } = \frac { 5 } { 10 }$$

Solve for y

$$y=-4$$

Steps for Solving Linear Equation

Variable y cannot be equal to -\frac{2}{3} since division by zero is not defined. Multiply both sides of the equation by 10\left(3y+2\right), the least common multiple of 3y+2,10.

$$10\left(2y+3\right)=\left(3y+2\right)\times 5$$

Use the distributive property to multiply 10 by 2y+3.

$$20y+30=\left(3y+2\right)\times 5$$

Use the distributive property to multiply 3y+2 by 5.

$$20y+30=15y+10$$

Subtract 15y from both sides.

$$20y+30-15y=10$$

Combine 20y and -15y to get 5y.

$$5y+30=10$$

Subtract 30 from both sides.

$$5y=10-30$$

Subtract 30 from 10 to get -20.

$$5y=-20$$

Divide both sides by 5.

$$y=\frac{-20}{5}$$

Divide -20 by 5 to get -4.

$$y=-4$$