5(y-3)=8(y+6)

Simple and best practice solution for 5(y-3)=8(y+6) 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 5(y-3)=8(y+6) equation:


Simplifying
5(y + -3) = 8(y + 6)

Reorder the terms:
5(-3 + y) = 8(y + 6)
(-3 * 5 + y * 5) = 8(y + 6)
(-15 + 5y) = 8(y + 6)

Reorder the terms:
-15 + 5y = 8(6 + y)
-15 + 5y = (6 * 8 + y * 8)
-15 + 5y = (48 + 8y)

Solving
-15 + 5y = 48 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-15 + 5y + -8y = 48 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-15 + -3y = 48 + 8y + -8y

Combine like terms: 8y + -8y = 0
-15 + -3y = 48 + 0
-15 + -3y = 48

Add '15' to each side of the equation.
-15 + 15 + -3y = 48 + 15

Combine like terms: -15 + 15 = 0
0 + -3y = 48 + 15
-3y = 48 + 15

Combine like terms: 48 + 15 = 63
-3y = 63

Divide each side by '-3'.
y = -21

Simplifying
y = -21

See similar equations:

| 6(x+4)=2(x+8) | | 3x-12=-3 | | 1-9a=19 | | 3x+1=x+13 | | 0=x^5-5x^4+12x^3-15x^2+x+10 | | 3(j+5)=5(11-j) | | 5m+18=15m-24-4m | | x-4=0 | | -11=14+3m-8m | | h=(0.24)i^2rt | | 5p-2p=7 | | 3x^9+3x^2-5+90=0 | | 15g=6(4+2g) | | -y+9z-16y-25z= | | 3x+189-69=0 | | 4b-5=-t | | -5x-y=-2 | | -18f=-9f+72 | | 3x^2-4=0 | | v=4+at | | 63+11w=4w | | 36-2m=7m | | 15-6g+8=19 | | -3x+b=6x | | 8x=5x+24 | | 5(4d-2)=10d-5 | | 8n-6=-9N+11 | | 8N-6=-9N | | h+6h= | | y-y-2+2= | | 3x+17=2x+17 | | y-y+2=18 |

Equations solver categories