Whakaoti i te y-1/3-2=3y+1/2

$$\frac { y - 1 } { 3 } - 2 = \frac { 3 y + 1 } { 2 }$$

Whakaoti mō y

$$y = -\frac{17}{7} = -2\frac{3}{7} \approx -2.428571429$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 3,2.

$$2\left(y-1\right)-12=3\left(3y+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te y-1.

$$2y-2-12=3\left(3y+1\right)$$

Tangohia te 12 i te -2, ka -14.

$$2y-14=3\left(3y+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3y+1.

$$2y-14=9y+3$$

Tangohia te 9y mai i ngā taha e rua.

$$2y-14-9y=3$$

Pahekotia te 2y me -9y, ka -7y.

$$-7y-14=3$$

Me tāpiri te 14 ki ngā taha e rua.

$$-7y=3+14$$

Tāpirihia te 3 ki te 14, ka 17.

$$-7y=17$$

Whakawehea ngā taha e rua ki te -7.

$$y=\frac{17}{-7}$$

Ka taea te hautanga \frac{17}{-7} te tuhi anō ko -\frac{17}{7} mā te tango i te tohu tōraro.

$$y=-\frac{17}{7}$$