6y+2(y-7)=5(y+1)-3

Simple and best practice solution for 6y+2(y-7)=5(y+1)-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 6y+2(y-7)=5(y+1)-3 equation: 


Simplifying
6y + 2(y + -7) = 5(y + 1) + -3

Reorder the terms:
6y + 2(-7 + y) = 5(y + 1) + -3
6y + (-7 * 2 + y * 2) = 5(y + 1) + -3
6y + (-14 + 2y) = 5(y + 1) + -3

Reorder the terms:
-14 + 6y + 2y = 5(y + 1) + -3

Combine like terms: 6y + 2y = 8y
-14 + 8y = 5(y + 1) + -3

Reorder the terms:
-14 + 8y = 5(1 + y) + -3
-14 + 8y = (1 * 5 + y * 5) + -3
-14 + 8y = (5 + 5y) + -3

Reorder the terms:
-14 + 8y = 5 + -3 + 5y

Combine like terms: 5 + -3 = 2
-14 + 8y = 2 + 5y

Solving
-14 + 8y = 2 + 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.
-14 + 8y + -5y = 2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-14 + 3y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-14 + 3y = 2 + 0
-14 + 3y = 2

Add '14' to each side of the equation.
-14 + 14 + 3y = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = 2 + 14
3y = 2 + 14

Combine like terms: 2 + 14 = 16
3y = 16

Divide each side by '3'.
y = 5.333333333

Simplifying
y = 5.333333333

See similar equations:

| 7+5(1-6c)=-32 | | a+2a+10-3a= | | -2x-14=90 | | 2v-9=-9+2v | | 8-(9-t)= | | 14=6p+4+4p | | 21+t=-18 | | -7(7x-8)+6=-49x+62 | | 3(6x+3)=4x+2 | | 10+2(w+1)=7a-3 | | 37-4x=3(1-7x) | | 5+g+58h=100 | | 4x+9=54-5x | | -7-10=-8p-4p | | -5n-7n-9=-1-10n | | 1.8+32c=-5 | | -7+3x-9x=12x-5 | | -5(x+4)=3(x-4) | | X=5h+8 | | 5*x=3-1+2x | | 10=-3+s | | 9=6(v+1)-12v-9 | | 147=7x+35 | | a+a-9=30 | | 40+45n=12n+180 | | 2x-4=-10+x | | 6x^2+3x+9=0 | | 5x-6=8x-18 | | t+(24)=9 | | 1.8c+32c=-5 | | 5g+40=80 | | 4x-9=54-5x |

Equations solver categories