3(y+4)=2(2y-9)+y

Simple and best practice solution for 3(y+4)=2(2y-9)+y 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)=2(2y-9)+y equation: 


Simplifying
3(y + 4) = 2(2y + -9) + y

Reorder the terms:
3(4 + y) = 2(2y + -9) + y
(4 * 3 + y * 3) = 2(2y + -9) + y
(12 + 3y) = 2(2y + -9) + y

Reorder the terms:
12 + 3y = 2(-9 + 2y) + y
12 + 3y = (-9 * 2 + 2y * 2) + y
12 + 3y = (-18 + 4y) + y

Combine like terms: 4y + y = 5y
12 + 3y = -18 + 5y

Solving
12 + 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.
12 + 3y + -5y = -18 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
12 + -2y = -18 + 0
12 + -2y = -18

Add '-12' to each side of the equation.
12 + -12 + -2y = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = -18 + -12
-2y = -18 + -12

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

Divide each side by '-2'.
y = 15

Simplifying
y = 15

See similar equations:

| 5x+30x-10=7(5x+8) | | (30-(30*x))*1.20=30 | | 3p-(9+14)=9-(8p-2) | | 35x-2=7(5x+9) | | -5x(-3x^3+2x^2-xy+y)= | | 5x+2(2-x)=119 | | 2x^2+y-6=0 | | 5-4(2x-5)=27 | | 14.2+25.2=3.8+26.8 | | 7x+23x-9=6(5x+3) | | 6y^2-14y-272=0 | | 70x-35=7(10x-5) | | 6x^2-14y-272=0 | | 5x(-3x^3+2x^2-xy+y)= | | 48x+8=48x+25 | | 9y+16+40+7y=360 | | 4x+x+8=11x-6x+8 | | 11-(-2)+14= | | -3xy(14xy^2)= | | 4(2x+2)=10x+3-2x+5 | | 3n+1=63 | | 5(x+5)-1=30-4x-6+9x | | 8x+4y=24fory | | 8x+20x-10=7(4x+8) | | 1-y=-x | | 2(4a-3)=18 | | -6(4x-7)=-33+x | | 3-5x=-y | | X^2+4x-123=0 | | -26-6x=2x-6(6x-5) | | 13x+24=-6 | | 4(4x+1)+7=-85 |

Equations solver categories