3(y+2)-4=-5(y+6)+12

Simple and best practice solution for 3(y+2)-4=-5(y+6)+12 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+2)-4=-5(y+6)+12 equation: 


Simplifying
3(y + 2) + -4 = -5(y + 6) + 12

Reorder the terms:
3(2 + y) + -4 = -5(y + 6) + 12
(2 * 3 + y * 3) + -4 = -5(y + 6) + 12
(6 + 3y) + -4 = -5(y + 6) + 12

Reorder the terms:
6 + -4 + 3y = -5(y + 6) + 12

Combine like terms: 6 + -4 = 2
2 + 3y = -5(y + 6) + 12

Reorder the terms:
2 + 3y = -5(6 + y) + 12
2 + 3y = (6 * -5 + y * -5) + 12
2 + 3y = (-30 + -5y) + 12

Reorder the terms:
2 + 3y = -30 + 12 + -5y

Combine like terms: -30 + 12 = -18
2 + 3y = -18 + -5y

Solving
2 + 3y = -18 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
2 + 3y + 5y = -18 + -5y + 5y

Combine like terms: 3y + 5y = 8y
2 + 8y = -18 + -5y + 5y

Combine like terms: -5y + 5y = 0
2 + 8y = -18 + 0
2 + 8y = -18

Add '-2' to each side of the equation.
2 + -2 + 8y = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 8y = -18 + -2
8y = -18 + -2

Combine like terms: -18 + -2 = -20
8y = -20

Divide each side by '8'.
y = -2.5

Simplifying
y = -2.5

See similar equations:

| 10x+16=14x+18 | | 4t+15=7t+20 | | 20x+50y=300 | | 9x+16+5x-14+90=180 | | 2500x+1800y=250000 | | 3/x-5=10/x-2 | | 20x-15y+12=0 | | 5x-14+90=180 | | 2(a-3)-4(5-a)=4 | | 5.8=x-3.7 | | 189=10m-1 | | 8x+-3= | | a+4b=34 | | 8x+4y=250 | | 3x/x=9 | | (2/3h^2)^4 | | 5-(x+4)=2y+20 | | 2lny-ln(x+y)=lny | | 12x-22=7+38 | | -40=w/-4 | | 12.2x+12.3+7.1=-2.2x+93.9-0.5x | | X(-6)=36 | | 20=q/-5 | | y=-x-16 | | 8k^2+32=32k | | 1/6y=5/34 | | 20=9/-5 | | 42=w/-3 | | 3((sin)x)=4((cos)x) | | 2sin^2(5x)=0 | | 3sinx=4cosx | | 5.89=2f-1.51 |

Equations solver categories