Solve 140+0.9(y-250)+1200-460*0.08+300+70-10=y

$$140 + 0.9 ( y - 250 ) + 1200 - 460 \times 0.08 + 300 + 70 - 10 = y$$

Solve for y

$$y=14382$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.9 by y-250.

$$140+0.9y-225+1200-460\times 0.08+300+70-10=y$$

Subtract 225 from 140 to get -85.

$$-85+0.9y+1200-460\times 0.08+300+70-10=y$$

Add -85 and 1200 to get 1115.

$$1115+0.9y-460\times 0.08+300+70-10=y$$

Multiply 460 and 0.08 to get 36.8.

$$1115+0.9y-36.8+300+70-10=y$$

Subtract 36.8 from 1115 to get 1078.2.

$$1078.2+0.9y+300+70-10=y$$

Add 1078.2 and 300 to get 1378.2.

$$1378.2+0.9y+70-10=y$$

Add 1378.2 and 70 to get 1448.2.

$$1448.2+0.9y-10=y$$

Subtract 10 from 1448.2 to get 1438.2.

$$1438.2+0.9y=y$$

Subtract y from both sides.

$$1438.2+0.9y-y=0$$

Combine 0.9y and -y to get -0.1y.

$$1438.2-0.1y=0$$

Subtract 1438.2 from both sides. Anything subtracted from zero gives its negation.

$$-0.1y=-1438.2$$

Divide both sides by -0.1.

$$y=\frac{-1438.2}{-0.1}$$

Expand \frac{-1438.2}{-0.1} by multiplying both numerator and the denominator by 10.

$$y=\frac{-14382}{-1}$$

Fraction \frac{-14382}{-1} can be simplified to 14382 by removing the negative sign from both the numerator and the denominator.

$$y=14382$$