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

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


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

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

Reorder the terms:
12 + 3y = 5 + -3(-3 + 2y)
12 + 3y = 5 + (-3 * -3 + 2y * -3)
12 + 3y = 5 + (9 + -6y)

Combine like terms: 5 + 9 = 14
12 + 3y = 14 + -6y

Solving
12 + 3y = 14 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
12 + 3y + 6y = 14 + -6y + 6y

Combine like terms: 3y + 6y = 9y
12 + 9y = 14 + -6y + 6y

Combine like terms: -6y + 6y = 0
12 + 9y = 14 + 0
12 + 9y = 14

Add '-12' to each side of the equation.
12 + -12 + 9y = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = 14 + -12
9y = 14 + -12

Combine like terms: 14 + -12 = 2
9y = 2

Divide each side by '9'.
y = 0.2222222222

Simplifying
y = 0.2222222222

See similar equations:

| 3x/8=6 | | 6x+2=9+5x | | 19-2x=-10 | | 2(y+6)=-3(3y-5)+2y | | 0.4x+0.5=2.5 | | x/-5=40 | | 3(x+8)-3=75-3x | | z^2+2z+15=0 | | 2.8=6.4+y | | x+(x-10)+(2x-50)=180 | | 4x+2y=102 | | -1.2+0.07x=0.3 | | a-(a*.0765)=63306 | | 5x-6-.57x=-6 | | (4-9x^4)^1/2 | | (x-12)(x+9)=(3-x)(x+13) | | 8(x+8)=8(x+10) | | -12=4(-6x-3) | | 3*0.5-y=6 | | 12x-5=14+12x | | 3*0.5-y=x | | 5+2d=10 | | -16+5n=42+-56+3 | | 3x+4=5x_10 | | 1/2x-1/3(9-x)=3x | | .6x=1.93 | | 19-2x+3=2x+6+x | | 2+0.3333333333y-4=y | | 12=144 | | 7a-4b=32 | | 4x+7y=-7 | | 5.8-0.1b+1.7-0.5b=12-0.6b-2.9 |

Equations solver categories