Whakaoti i te 3(y-6)+4(-4-y)=-12(y-3)+4

$$3(y-6)+4(-4-y)=-12(y-3)+4$$

Whakaoti mō y

$$y = \frac{74}{11} = 6\frac{8}{11} \approx 6.727272727$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te y-6.

$$3y-18+4\left(-4-y\right)=-12\left(y-3\right)+4$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -4-y.

$$3y-18-16-4y=-12\left(y-3\right)+4$$

Tangohia te 16 i te -18, ka -34.

$$3y-34-4y=-12\left(y-3\right)+4$$

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

$$-y-34=-12\left(y-3\right)+4$$

Whakamahia te āhuatanga tohatoha hei whakarea te -12 ki te y-3.

$$-y-34=-12y+36+4$$

Tāpirihia te 36 ki te 4, ka 40.

$$-y-34=-12y+40$$

Me tāpiri te 12y ki ngā taha e rua.

$$-y-34+12y=40$$

Pahekotia te -y me 12y, ka 11y.

$$11y-34=40$$

Me tāpiri te 34 ki ngā taha e rua.

$$11y=40+34$$

Tāpirihia te 40 ki te 34, ka 74.

$$11y=74$$

Whakawehea ngā taha e rua ki te 11.

$$y=\frac{74}{11}$$