7y+2(y-8)=6(y+1)-2

Simple and best practice solution for 7y+2(y-8)=6(y+1)-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 7y+2(y-8)=6(y+1)-2 equation:


Simplifying
7y + 2(y + -8) = 6(y + 1) + -2

Reorder the terms:
7y + 2(-8 + y) = 6(y + 1) + -2
7y + (-8 * 2 + y * 2) = 6(y + 1) + -2
7y + (-16 + 2y) = 6(y + 1) + -2

Reorder the terms:
-16 + 7y + 2y = 6(y + 1) + -2

Combine like terms: 7y + 2y = 9y
-16 + 9y = 6(y + 1) + -2

Reorder the terms:
-16 + 9y = 6(1 + y) + -2
-16 + 9y = (1 * 6 + y * 6) + -2
-16 + 9y = (6 + 6y) + -2

Reorder the terms:
-16 + 9y = 6 + -2 + 6y

Combine like terms: 6 + -2 = 4
-16 + 9y = 4 + 6y

Solving
-16 + 9y = 4 + 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.
-16 + 9y + -6y = 4 + 6y + -6y

Combine like terms: 9y + -6y = 3y
-16 + 3y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-16 + 3y = 4 + 0
-16 + 3y = 4

Add '16' to each side of the equation.
-16 + 16 + 3y = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 3y = 4 + 16
3y = 4 + 16

Combine like terms: 4 + 16 = 20
3y = 20

Divide each side by '3'.
y = 6.666666667

Simplifying
y = 6.666666667

See similar equations:

| 1116=6(x+16) | | (5-z)(5z+1)=0 | | 81y^2+54y+9=0 | | 9-(2m-3)=20-4m | | 17+3x=11+2x | | -17-(-17)= | | 9(-2m-3)=20-4m | | 8(2x-2)=2(8x+6) | | -x-2x+1=0 | | -2x^2+4x-8=0 | | 8.25m=-90.75 | | -16x-2x=5-9x | | 8.25=-90.75 | | -3(5y-2)-y=-3(y-5) | | -14.9+(-0.4)= | | 9*x^2-18*x+85=10 | | 10+(-6)= | | x^5-4x=0 | | 5(x-15)=30x | | -4+(-9)= | | 6/n=12/10 | | x=-2+3556786 | | 2n-14=12 | | -6/7-3 | | 2x(x+3)+x(x+4)=5x(x+2)-2x | | 6r+11=3r+2 | | 4y+100+4y+100=360 | | 3u+7=7u+27 | | 8t-9=3t+16 | | 9+2n-8=8n+9-4n | | 6(x-7)+18=4(x-5) | | 4k+2/3=0 |

Equations solver categories