Solve 3y-2/2020-3=2020(3y-2)-4-2020^2

$$\frac { 3 y - 2 } { 2020 } - 3 = 2020 ( 3 y - 2 ) - 4 - 2020 ^ { 2 }$$

Solve for y

$$y = \frac{8250570818}{12241197} = 674\frac{4040}{12241197} \approx 674.000330033$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2020.

$$3y-2-6060=2020\left(2020\left(3y-2\right)-4\right)-2020\times 2020^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$3y-2-6060=2020\left(2020\left(3y-2\right)-4\right)-2020^{3}$$

Subtract 6060 from -2 to get -6062.

$$3y-6062=2020\left(2020\left(3y-2\right)-4\right)-2020^{3}$$

Use the distributive property to multiply 2020 by 3y-2.

$$3y-6062=2020\left(6060y-4040-4\right)-2020^{3}$$

Subtract 4 from -4040 to get -4044.

$$3y-6062=2020\left(6060y-4044\right)-2020^{3}$$

Use the distributive property to multiply 2020 by 6060y-4044.

$$3y-6062=12241200y-8168880-2020^{3}$$

Calculate 2020 to the power of 3 and get 8242408000.

$$3y-6062=12241200y-8168880-8242408000$$

Subtract 8242408000 from -8168880 to get -8250576880.

$$3y-6062=12241200y-8250576880$$

Subtract 12241200y from both sides.

$$3y-6062-12241200y=-8250576880$$

Combine 3y and -12241200y to get -12241197y.

$$-12241197y-6062=-8250576880$$

Add 6062 to both sides.

$$-12241197y=-8250576880+6062$$

Add -8250576880 and 6062 to get -8250570818.

$$-12241197y=-8250570818$$

Divide both sides by -12241197.

$$y=\frac{-8250570818}{-12241197}$$

Fraction \frac{-8250570818}{-12241197} can be simplified to \frac{8250570818}{12241197} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{8250570818}{12241197}$$