3y+3(y-8)=7y-3(y-10)

Simple and best practice solution for 3y+3(y-8)=7y-3(y-10) 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+3(y-8)=7y-3(y-10) equation:


Simplifying
3y + 3(y + -8) = 7y + -3(y + -10)

Reorder the terms:
3y + 3(-8 + y) = 7y + -3(y + -10)
3y + (-8 * 3 + y * 3) = 7y + -3(y + -10)
3y + (-24 + 3y) = 7y + -3(y + -10)

Reorder the terms:
-24 + 3y + 3y = 7y + -3(y + -10)

Combine like terms: 3y + 3y = 6y
-24 + 6y = 7y + -3(y + -10)

Reorder the terms:
-24 + 6y = 7y + -3(-10 + y)
-24 + 6y = 7y + (-10 * -3 + y * -3)
-24 + 6y = 7y + (30 + -3y)

Reorder the terms:
-24 + 6y = 30 + 7y + -3y

Combine like terms: 7y + -3y = 4y
-24 + 6y = 30 + 4y

Solving
-24 + 6y = 30 + 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.
-24 + 6y + -4y = 30 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-24 + 2y = 30 + 4y + -4y

Combine like terms: 4y + -4y = 0
-24 + 2y = 30 + 0
-24 + 2y = 30

Add '24' to each side of the equation.
-24 + 24 + 2y = 30 + 24

Combine like terms: -24 + 24 = 0
0 + 2y = 30 + 24
2y = 30 + 24

Combine like terms: 30 + 24 = 54
2y = 54

Divide each side by '2'.
y = 27

Simplifying
y = 27

See similar equations:

| 6x+90= | | 16y^2-256=0 | | 0.75x+3.27=10.02 | | b+15=31 | | N^2+4n+8=0 | | x(x^3-5x^2-25x+125)=0 | | -4(4x+8)=-176 | | 256=-16x^2+256 | | 6x+1x=10-12 | | -16x^2+50x-30=0 | | 11x+5+6x+90=180 | | (5y+8)(9+y)=0 | | 2a^2-7a+17=0 | | -3w=-39 | | 6+a=24 | | -2-2(6n+2)=(8n-4)-8 | | 0.2x^2-1.6x+1.4=0 | | 5x=2x-45 | | h=-16x^2+256 | | 2t+7=-9 | | -4e^4x=32 | | 17-17a=-2a^2 | | -19+4h=-7(9h+6) | | .75x=-.33 | | 6(x+6)+7=6x+6 | | 60=50+(2t-0.0625t^2) | | .4(z-18)-30=6 | | 14x^4+63x^3y-35x^2y^2= | | N^2+n^2+4n-202+4=0 | | -4x+10y=8 | | 0.2x^2-0.6x+1.4=0 | | 60=50+2t-0.0625t^2 |

Equations solver categories