Whakaoti i te -6(-3y-2/2)+12y=1

$$- 6 ( - \frac { 3 y - 2 } { 2 } ) + 12 y = 1$$

Whakaoti mō y

$$y=\frac{1}{3}\approx 0.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 2.

$$-12\left(-\frac{3y-2}{2}\right)+24y=2$$

Whakareatia te -12 ki te -1, ka 12.

$$12\times \frac{3y-2}{2}+24y=2$$

Whakawehea ia wā o 3y-2 ki te 2, kia riro ko \frac{3}{2}y-1.

$$12\left(\frac{3}{2}y-1\right)+24y=2$$

Whakamahia te āhuatanga tohatoha hei whakarea te 12 ki te \frac{3}{2}y-1.

$$12\times \frac{3}{2}y-12+24y=2$$

Tuhia te 12\times \frac{3}{2} hei hautanga kotahi.

$$\frac{12\times 3}{2}y-12+24y=2$$

Whakareatia te 12 ki te 3, ka 36.

$$\frac{36}{2}y-12+24y=2$$

Whakawehea te 36 ki te 2, kia riro ko 18.

$$18y-12+24y=2$$

Pahekotia te 18y me 24y, ka 42y.

$$42y-12=2$$

Me tāpiri te 12 ki ngā taha e rua.

$$42y=2+12$$

Tāpirihia te 2 ki te 12, ka 14.

$$42y=14$$

Whakawehea ngā taha e rua ki te 42.

$$y=\frac{14}{42}$$

Whakahekea te hautanga \frac{14}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$y=\frac{1}{3}$$