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

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


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

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

Reorder the terms:
8 + 2y = 3(-2 + y)
8 + 2y = (-2 * 3 + y * 3)
8 + 2y = (-6 + 3y)

Solving
8 + 2y = -6 + 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.
8 + 2y + -3y = -6 + 3y + -3y

Combine like terms: 2y + -3y = -1y
8 + -1y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -1y = -6 + 0
8 + -1y = -6

Add '-8' to each side of the equation.
8 + -8 + -1y = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -6 + -8
-1y = -6 + -8

Combine like terms: -6 + -8 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14

See similar equations:

| 10x+20=-10 | | -x+26=3(3x+2) | | -6m-7=-7m+8 | | 3x+5=72 | | 4-x=3 | | 6x+2+12x+6=44 | | 6x+1=61 | | 30x+y=15 | | -7a+2+8a=5-25 | | 4(2x-4)=x+12 | | 9x-6=30 | | 2(y+8)=3(y-6) | | x-29=-37 | | x+7=6m-3 | | 16=2[x-1]-x | | 4-x=31 | | 18d+5=9d+77 | | 37=5x-3 | | -5m+15-7(m-3)=3m-(7m-4)-2m+8 | | 11+8x=131 | | 5(x+4)=(4x+6) | | y=9 | | 6x+11=83 | | 0=-8x^2+16x+10 | | -4p-2(2-6p)=6(p-2)-10 | | 6-7x=-85 | | 44=8x-4 | | 18x-8= | | 5u+3=-27 | | 7x-3(x-6)=2(x-3)+8 | | 6(x-6)=-24 | | 2c+t=140 |

Equations solver categories