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

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


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

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

Reorder the terms:
12 + 2y = -3(-5 + 3y) + 2y
12 + 2y = (-5 * -3 + 3y * -3) + 2y
12 + 2y = (15 + -9y) + 2y

Combine like terms: -9y + 2y = -7y
12 + 2y = 15 + -7y

Solving
12 + 2y = 15 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
12 + 2y + 7y = 15 + -7y + 7y

Combine like terms: 2y + 7y = 9y
12 + 9y = 15 + -7y + 7y

Combine like terms: -7y + 7y = 0
12 + 9y = 15 + 0
12 + 9y = 15

Add '-12' to each side of the equation.
12 + -12 + 9y = 15 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = 15 + -12
9y = 15 + -12

Combine like terms: 15 + -12 = 3
9y = 3

Divide each side by '9'.
y = 0.3333333333

Simplifying
y = 0.3333333333

See similar equations:

| 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 | | 3y^3dx-6x^4dy=0 | | logx=0.30 | | 9x-2y=80 | | 2(x+10)*3=108 |

Equations solver categories