(3y-1)(y-1)=8

Simple and best practice solution for (3y-1)(y-1)=8 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (3y-1)(y-1)=8 equation: 


Simplifying
(3y + -1)(y + -1) = 8

Reorder the terms:
(-1 + 3y)(y + -1) = 8

Reorder the terms:
(-1 + 3y)(-1 + y) = 8

Multiply (-1 + 3y) * (-1 + y)
(-1(-1 + y) + 3y * (-1 + y)) = 8
((-1 * -1 + y * -1) + 3y * (-1 + y)) = 8
((1 + -1y) + 3y * (-1 + y)) = 8
(1 + -1y + (-1 * 3y + y * 3y)) = 8
(1 + -1y + (-3y + 3y2)) = 8

Combine like terms: -1y + -3y = -4y
(1 + -4y + 3y2) = 8

Solving
1 + -4y + 3y2 = 8

Solving for variable 'y'.

Reorder the terms:
1 + -8 + -4y + 3y2 = 8 + -8

Combine like terms: 1 + -8 = -7
-7 + -4y + 3y2 = 8 + -8

Combine like terms: 8 + -8 = 0
-7 + -4y + 3y2 = 0

Factor a trinomial.
(-1 + -1y)(7 + -3y) = 0


Subproblem 1
Set the factor '(-1 + -1y)' equal to zero and attempt to solve:

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1y = 0 + 1
-1y = 0 + 1

Combine like terms: 0 + 1 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1

Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {-1, 2.333333333}

See similar equations:

| y+6y-2y=6y-2y | | -n-34=7(1-6n) | | 2.1-2p=4.2 | | 1-9n=11-9n | | 63/z=9 | | -9+a=4 | | P/-7=4 | | -6n-18=-n-3n | | 0.4-0.16y=0.3+1.67y | | 4t-18=-3-t | | 3x(5+2x)=7x-94 | | -5(r+7)=-93 | | 3x+31=15x-5 | | 2x+15=119 | | 0.75p-0.5=0.375p+1 | | X^2+5x-3=21 | | 3x+45=7x-9 | | 10-2(p+4)=12 | | 7-2(5s-4)+s=3(s+2) | | X=5i | | 8e^3x=32 | | 0.3s+1=7+4.5s | | .1=x-.75x | | x+(2x+11000)=35000 | | 8x-20/20 | | 5y-(2y+10)-25= | | 4/4k-4 | | 7-5+3x-1=7x+2 | | (a-9b)(a+8b)= | | 5x+8=6x+68 | | (1/2-i)-(1-i/2) | | Sinx1/2 |

Equations solver categories