(2y+1)(y+4)=(2y-1)(y+4)

Simple and best practice solution for (2y+1)(y+4)=(2y-1)(y+4) 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 (2y+1)(y+4)=(2y-1)(y+4) equation: 


Simplifying
(2y + 1)(y + 4) = (2y + -1)(y + 4)

Reorder the terms:
(1 + 2y)(y + 4) = (2y + -1)(y + 4)

Reorder the terms:
(1 + 2y)(4 + y) = (2y + -1)(y + 4)

Multiply (1 + 2y) * (4 + y)
(1(4 + y) + 2y * (4 + y)) = (2y + -1)(y + 4)
((4 * 1 + y * 1) + 2y * (4 + y)) = (2y + -1)(y + 4)
((4 + 1y) + 2y * (4 + y)) = (2y + -1)(y + 4)
(4 + 1y + (4 * 2y + y * 2y)) = (2y + -1)(y + 4)
(4 + 1y + (8y + 2y2)) = (2y + -1)(y + 4)

Combine like terms: 1y + 8y = 9y
(4 + 9y + 2y2) = (2y + -1)(y + 4)

Reorder the terms:
4 + 9y + 2y2 = (-1 + 2y)(y + 4)

Reorder the terms:
4 + 9y + 2y2 = (-1 + 2y)(4 + y)

Multiply (-1 + 2y) * (4 + y)
4 + 9y + 2y2 = (-1(4 + y) + 2y * (4 + y))
4 + 9y + 2y2 = ((4 * -1 + y * -1) + 2y * (4 + y))
4 + 9y + 2y2 = ((-4 + -1y) + 2y * (4 + y))
4 + 9y + 2y2 = (-4 + -1y + (4 * 2y + y * 2y))
4 + 9y + 2y2 = (-4 + -1y + (8y + 2y2))

Combine like terms: -1y + 8y = 7y
4 + 9y + 2y2 = (-4 + 7y + 2y2)

Add '-2y2' to each side of the equation.
4 + 9y + 2y2 + -2y2 = -4 + 7y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
4 + 9y + 0 = -4 + 7y + 2y2 + -2y2
4 + 9y = -4 + 7y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
4 + 9y = -4 + 7y + 0
4 + 9y = -4 + 7y

Solving
4 + 9y = -4 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
4 + 9y + -7y = -4 + 7y + -7y

Combine like terms: 9y + -7y = 2y
4 + 2y = -4 + 7y + -7y

Combine like terms: 7y + -7y = 0
4 + 2y = -4 + 0
4 + 2y = -4

Add '-4' to each side of the equation.
4 + -4 + 2y = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 2y = -4 + -4
2y = -4 + -4

Combine like terms: -4 + -4 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

See similar equations:

| 1-4x=8+3x | | 12m-100=500 | | 12r^2+7r+15=9+10r^2 | | 7x+8=218 | | 5t-20=130 | | http://media.apexlearning.com/Images/201308/08/7c2628d4-5154-4632-987d-161a1217e98e.gif | | 3m+12=60 | | 3(a-1)=4a-1.5 | | 23a+76a= | | 2m+3form=-2 | | 8-3c=3c-2 | | 4x^2-8x-3=-7x | | 49x^2-144y^2=0 | | 7+5=-9 | | 8=-3p+(-11) | | (1/5x)*5 | | x^2+5x+4=y | | (1/5x)*5= | | y=0.5x+190000 | | 3a+10=4a-8 | | -1=-2(5)+b | | f(x)=7+3x | | -5(-3-2x)=2x | | 5/54=x/9 | | 9x+3=2x-18 | | 6m^8-48=0 | | 2(2y-0.25)=2.5(y+0.25) | | 2v^2-114=7v | | d+13=-9 | | 1/(2x)=14 | | y-8.2=8.7 | | 4(k-7)=-4+7k |

Equations solver categories