Whakaoti i te 4(2y+3)=8(1-y)-5(y-2)

$$4 ( 2 y + 3 ) = 8 ( 1 - y ) - 5 ( y - 2 )$$

Whakaoti mō y

$$y=\frac{2}{7}\approx 0.285714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 2y+3.

$$8y+12=8\left(1-y\right)-5\left(y-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8 ki te 1-y.

$$8y+12=8-8y-5\left(y-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te y-2.

$$8y+12=8-8y-5y+10$$

Pahekotia te -8y me -5y, ka -13y.

$$8y+12=8-13y+10$$

Tāpirihia te 8 ki te 10, ka 18.

$$8y+12=18-13y$$

Me tāpiri te 13y ki ngā taha e rua.

$$8y+12+13y=18$$

Pahekotia te 8y me 13y, ka 21y.

$$21y+12=18$$

Tangohia te 12 mai i ngā taha e rua.

$$21y=18-12$$

Tangohia te 12 i te 18, ka 6.

$$21y=6$$

Whakawehea ngā taha e rua ki te 21.

$$y=\frac{6}{21}$$

Whakahekea te hautanga \frac{6}{21} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$y=\frac{2}{7}$$