-5(2y-8)-y=-4(y-3)

Simple and best practice solution for -5(2y-8)-y=-4(y-3) 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 -5(2y-8)-y=-4(y-3) equation: 


Simplifying
-5(2y + -8) + -1y = -4(y + -3)

Reorder the terms:
-5(-8 + 2y) + -1y = -4(y + -3)
(-8 * -5 + 2y * -5) + -1y = -4(y + -3)
(40 + -10y) + -1y = -4(y + -3)

Combine like terms: -10y + -1y = -11y
40 + -11y = -4(y + -3)

Reorder the terms:
40 + -11y = -4(-3 + y)
40 + -11y = (-3 * -4 + y * -4)
40 + -11y = (12 + -4y)

Solving
40 + -11y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
40 + -11y + 4y = 12 + -4y + 4y

Combine like terms: -11y + 4y = -7y
40 + -7y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
40 + -7y = 12 + 0
40 + -7y = 12

Add '-40' to each side of the equation.
40 + -40 + -7y = 12 + -40

Combine like terms: 40 + -40 = 0
0 + -7y = 12 + -40
-7y = 12 + -40

Combine like terms: 12 + -40 = -28
-7y = -28

Divide each side by '-7'.
y = 4

Simplifying
y = 4

See similar equations:

| (x-7.5)(x+4.3)=0 | | P=(100-2q)2q | | -9(8x+4)=27 | | 6(x+2)=3(2x+5) | | 9(9x-5)-3x= | | Y=2x-10x+8 | | W^2+4w+6=0 | | 3(x+6)-1=21-5x-4+8x | | -6x^2-5x+4=0 | | 1.6h-72=4d-30 | | 4(-7x+1)=88 | | mx=3+15x | | -4x+2-5x-2(6x-1)+11=4(x+5)+12-7-3x | | 14+7x=49 | | 5x+(5x-5)=25 | | 8w+3wy-5+6wy+8y= | | 9+2p+8-2p= | | 7m=2m-5 | | 2k+11=49 | | 7(x+7)=6(x-7)+x | | 12-(x-4)=16+x | | 2(x-5)+x=3(x-8)+14 | | 8x-14=-15 | | 9+4x+8+5x+6-2x=4x+50 | | 6(x+3)+8=6x+3 | | 7b-6a= | | 3x-10=416 | | 43a+10+26a=27 | | 4(2x+3y-6)= | | 3(x+2)-5x=4(x+3) | | 1.5x-6=1.5 | | .25=17x |

Equations solver categories