-4(4y-10)-y=-3(y-5)

Simple and best practice solution for -4(4y-10)-y=-3(y-5) 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 -4(4y-10)-y=-3(y-5) equation: 


Simplifying
-4(4y + -10) + -1y = -3(y + -5)

Reorder the terms:
-4(-10 + 4y) + -1y = -3(y + -5)
(-10 * -4 + 4y * -4) + -1y = -3(y + -5)
(40 + -16y) + -1y = -3(y + -5)

Combine like terms: -16y + -1y = -17y
40 + -17y = -3(y + -5)

Reorder the terms:
40 + -17y = -3(-5 + y)
40 + -17y = (-5 * -3 + y * -3)
40 + -17y = (15 + -3y)

Solving
40 + -17y = 15 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
40 + -17y + 3y = 15 + -3y + 3y

Combine like terms: -17y + 3y = -14y
40 + -14y = 15 + -3y + 3y

Combine like terms: -3y + 3y = 0
40 + -14y = 15 + 0
40 + -14y = 15

Add '-40' to each side of the equation.
40 + -40 + -14y = 15 + -40

Combine like terms: 40 + -40 = 0
0 + -14y = 15 + -40
-14y = 15 + -40

Combine like terms: 15 + -40 = -25
-14y = -25

Divide each side by '-14'.
y = 1.785714286

Simplifying
y = 1.785714286

See similar equations:

| 5(4x-7)+1=20x | | 5u+7=17 | | Y+4x=-6 | | 2x+9+4x-7=180 | | 2x+9+4+-7=180 | | (6x+9)x^2= | | 10x+24=40 | | 10x+24=60 | | -5w(w+6)(w-3)=0 | | x-2y=7/4 | | (1-y)(5y+6)=0 | | -3=w-7/4-4w-7/7 | | (u-1)(u-9)=0 | | 6x=18+3x | | 2(x-2)+5= | | q=20-.5p | | 4z/7=-9 | | 28=w/2-13 | | =20-.5P | | 7a*b=c | | X/3-9=26 | | f(x)=2x^3+4x | | 38=3v-13 | | -6/5-1/5= | | 76-xb=cd | | (5/-x-2)-(5/-2x-7)=(2/9) | | 6/5y-2/5y | | 5x-9x+6=x-2+8 | | 6(3x+18)=66 | | A(n)=11+(n-1)5 | | A(n)=13+(n-1)5 | | 5x-4=3+4x |

Equations solver categories