Solve 18*(09*65x-35)+42*(y/10*100-50)=810

$$18 \cdot ( 09 \times 65 x - 35 ) + 42 \cdot ( \frac { y } { 10 } \cdot 100 - 50 ) = 810$$

Solve for y

$$y = \frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10.

$$180\left(0\times 9\times 65x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Multiply 0 and 9 to get 0.

$$180\left(0\times 65x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Multiply 0 and 65 to get 0.

$$180\left(0x-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Anything times zero gives zero.

$$180\left(0-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Subtract 35 from 0 to get -35.

$$180\left(-35\right)+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Multiply 180 and -35 to get -6300.

$$-6300+420\left(\frac{y}{10}\times 100-50\right)=8100$$

Cancel out 10, the greatest common factor in 100 and 10.

$$-6300+420\left(10y-50\right)=8100$$

Use the distributive property to multiply 420 by 10y-50.

$$-6300+4200y-21000=8100$$

Subtract 21000 from -6300 to get -27300.

$$-27300+4200y=8100$$

Add 27300 to both sides.

$$4200y=8100+27300$$

Add 8100 and 27300 to get 35400.

$$4200y=35400$$

Divide both sides by 4200.

$$y=\frac{35400}{4200}$$

Reduce the fraction \frac{35400}{4200} to lowest terms by extracting and canceling out 600.

$$y=\frac{59}{7}$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$y = \frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$

Solve for x

$$x\in \mathrm{R}$$

$$y = \frac{59}{7} = 8\frac{3}{7} = 8.428571428571429$$