4(y-1/2)-y=6(6-y) eching

$$4 ( y - \frac { 1 } { 2 } ) - y = 6 ( 6 - y )$$

y uchun yechish

$$y = \frac{38}{9} = 4\frac{2}{9} \approx 4,222222222$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 ga y-\frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4y+4\left(-\frac{1}{2}\right)-y=6\left(6-y\right)$$

4\left(-\frac{1}{2}\right) ni yagona kasrga aylantiring.

$$4y+\frac{4\left(-1\right)}{2}-y=6\left(6-y\right)$$

-4 hosil qilish uchun 4 va -1 ni ko'paytirish.

$$4y+\frac{-4}{2}-y=6\left(6-y\right)$$

-2 ni olish uchun -4 ni 2 ga bo‘ling.

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

3y ni olish uchun 4y va -y ni birlashtirish.

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

6 ga 6-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3y-2=36-6y$$

6y ni ikki tarafga qo’shing.

$$3y-2+6y=36$$

9y ni olish uchun 3y va 6y ni birlashtirish.

$$9y-2=36$$

2 ni ikki tarafga qo’shing.

$$9y=36+2$$

38 olish uchun 36 va 2'ni qo'shing.

$$9y=38$$

Ikki tarafini 9 ga bo‘ling.

$$y=\frac{38}{9}$$