6y-(5y+6)=12-3(y-2)

Simple and best practice solution for 6y-(5y+6)=12-3(y-2) 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 6y-(5y+6)=12-3(y-2) equation:


Simplifying
6y + -1(5y + 6) = 12 + -3(y + -2)

Reorder the terms:
6y + -1(6 + 5y) = 12 + -3(y + -2)
6y + (6 * -1 + 5y * -1) = 12 + -3(y + -2)
6y + (-6 + -5y) = 12 + -3(y + -2)

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

Combine like terms: 6y + -5y = 1y
-6 + 1y = 12 + -3(y + -2)

Reorder the terms:
-6 + 1y = 12 + -3(-2 + y)
-6 + 1y = 12 + (-2 * -3 + y * -3)
-6 + 1y = 12 + (6 + -3y)

Combine like terms: 12 + 6 = 18
-6 + 1y = 18 + -3y

Solving
-6 + 1y = 18 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-6 + 1y + 3y = 18 + -3y + 3y

Combine like terms: 1y + 3y = 4y
-6 + 4y = 18 + -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 4y = 18 + 0
-6 + 4y = 18

Add '6' to each side of the equation.
-6 + 6 + 4y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 18 + 6
4y = 18 + 6

Combine like terms: 18 + 6 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6

See similar equations:

| 6-2x+6=1+4x | | -4m+14m=80 | | -1/2x+y=8 | | 5(4x+9)-6x=-8x+12 | | 5-2(x-4)=5(1-2x) | | 7m-12=2.5m | | y-40=-49 | | 3x+x=800 | | 2+2x-14=-3x+16+9x | | -8e+3e=-50 | | 4b-7-15b+6= | | (6b^3)(3b^4)= | | 5/108+2/7 | | 9u+4u=169 | | -5x+9=-26+2X | | -2j+8j=-72 | | -32=x+-20 | | 5x+2+6x=122 | | 7=12x-3 | | 5=16x+x^2 | | (x^2-3x+2)(x^2+5x-6)=0 | | 3x-18x^2=0 | | y=2x-4/1 | | 4/5(m-1)-1/5=1 | | -3x-2=9 | | 7+s=3s | | 11(t-4)+7t=6(3t+5)-11 | | 3x=4x-16 | | x+3x=4.95 | | 15-9x+x+3y= | | (3/4)H-9=(1/4)H-1 | | 2x/3-6.2=18.4 |

Equations solver categories