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

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


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

Reorder the terms:
3(4 + y) = 4(y + -2)
(4 * 3 + y * 3) = 4(y + -2)
(12 + 3y) = 4(y + -2)

Reorder the terms:
12 + 3y = 4(-2 + y)
12 + 3y = (-2 * 4 + y * 4)
12 + 3y = (-8 + 4y)

Solving
12 + 3y = -8 + 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.
12 + 3y + -4y = -8 + 4y + -4y

Combine like terms: 3y + -4y = -1y
12 + -1y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -1y = -8 + 0
12 + -1y = -8

Add '-12' to each side of the equation.
12 + -12 + -1y = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -8 + -12
-1y = -8 + -12

Combine like terms: -8 + -12 = -20
-1y = -20

Divide each side by '-1'.
y = 20

Simplifying
y = 20

See similar equations:

| 1x+-3=-10 | | 150m-125m+33600=35000-150 | | 2.50(x+15.00)=662.50 | | 5(s+3)=45 | | x=2+-0.5X | | 6(2+c)=5(c-8) | | 12+3m= | | u^2+10+21=0 | | 2.50(x+15.00)=412.50 | | 2(x+1)=6-X | | 25=p/6+(-19) | | -x^2+7x+30=0 | | 4(10b+7)-6b= | | 4(2c+3)-2=2(4c+6) | | 5d-15= | | 33-8x=13+12x | | 2x-2=2(x+5) | | 5.7x-17.3+5.3x=6.4+12x | | 3x=9(x-5) | | 10a+2a= | | f(-4)=3x^2-6x+5 | | 36-11x=20+5x | | 3(x+2)=6x-1 | | 36-11x=205x | | 4-15x-25x^2=0 | | y-4(3y-6)+8=y | | 6m+30=10m | | 6s-11=-25+5 | | 30t+1=t | | q-3+4q=12 | | 10x-2(x-3)=8x+2 | | 6-6x=5x-8x-6 |

Equations solver categories