Whakaoti i te 4(y-1/2)-y=6(6-y)

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

Whakaoti mō y

$$y = \frac{38}{9} = 4\frac{2}{9} \approx 4.222222222$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te y-\frac{1}{2}.

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

Tuhia te 4\left(-\frac{1}{2}\right) hei hautanga kotahi.

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

Whakareatia te 4 ki te -1, ka -4.

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

Whakawehea te -4 ki te 2, kia riro ko -2.

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

Pahekotia te 4y me -y, ka 3y.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 6-y.

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

Me tāpiri te 6y ki ngā taha e rua.

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

Pahekotia te 3y me 6y, ka 9y.

$$9y-2=36$$

Me tāpiri te 2 ki ngā taha e rua.

$$9y=36+2$$

Tāpirihia te 36 ki te 2, ka 38.

$$9y=38$$

Whakawehea ngā taha e rua ki te 9.

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