6y-5/y+2=-4/3-এর সমাধান করুন

$$\frac{ 6y-5 }{ y+2 } = \frac{ -4 }{ 3 }$$

Solve for y

$$y=\frac{7}{22}\approx 0.318181818$$

Steps for Solving Linear Equation

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

$$3\left(6y-5\right)=\left(y+2\right)\left(-4\right)$$

Use the distributive property to multiply 3 by 6y-5.

$$18y-15=\left(y+2\right)\left(-4\right)$$

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

$$18y-15=-4y-8$$

Add 4y to both sides.

$$18y-15+4y=-8$$

Combine 18y and 4y to get 22y.

$$22y-15=-8$$

Add 15 to both sides.

$$22y=-8+15$$

Add -8 and 15 to get 7.

$$22y=7$$

Divide both sides by 22.

$$y=\frac{7}{22}$$