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

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


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

Reorder the terms:
4(-3 + 2y) = 5(y + 6)
(-3 * 4 + 2y * 4) = 5(y + 6)
(-12 + 8y) = 5(y + 6)

Reorder the terms:
-12 + 8y = 5(6 + y)
-12 + 8y = (6 * 5 + y * 5)
-12 + 8y = (30 + 5y)

Solving
-12 + 8y = 30 + 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.
-12 + 8y + -5y = 30 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-12 + 3y = 30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 3y = 30 + 0
-12 + 3y = 30

Add '12' to each side of the equation.
-12 + 12 + 3y = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = 30 + 12
3y = 30 + 12

Combine like terms: 30 + 12 = 42
3y = 42

Divide each side by '3'.
y = 14

Simplifying
y = 14

See similar equations:

| 2(3x+5)=3(2x+7)+4(2x-1) | | 2(2x+5)=3(2x+7)+4(2x-1) | | 7/8x=58 | | -36=14-2/5x | | 0.3x+0.0x+0.003x= | | 3(x-1)-5x=2 | | -4x-17=-10 | | 8/10-1/3 | | X^2-4x-1=x-7 | | 7p-14=16+2p | | 7z-11=65+z | | 3a-b+a= | | 5/8p21/2=2 | | 4x*4+7*2-2=0 | | 2x+(2x+1)=56 | | 4+0.5x=28-0.7x | | 6w^6-20w^5-16w^4=0 | | 3p+6=-13 | | 3x+2y=56 | | 2/3a-2=1/3 | | 8x+20=84 | | x^2+8x-2=5x-4 | | x^2+7x-8=8x-2 | | x+2*5=25 | | 2x+2=65 | | 2c-6=-3 | | 3x+2x=56 | | 3(x-7)-11=2(4x+8) | | 5x+5=43 | | 4x-5=5x+4 | | x*4-5=234 | | 7/8n=56 |

Equations solver categories