6(y+8)+y=3(y+5)-2

Simple and best practice solution for 6(y+8)+y=3(y+5)-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 6(y+8)+y=3(y+5)-2 equation:


Simplifying
6(y + 8) + y = 3(y + 5) + -2

Reorder the terms:
6(8 + y) + y = 3(y + 5) + -2
(8 * 6 + y * 6) + y = 3(y + 5) + -2
(48 + 6y) + y = 3(y + 5) + -2

Combine like terms: 6y + y = 7y
48 + 7y = 3(y + 5) + -2

Reorder the terms:
48 + 7y = 3(5 + y) + -2
48 + 7y = (5 * 3 + y * 3) + -2
48 + 7y = (15 + 3y) + -2

Reorder the terms:
48 + 7y = 15 + -2 + 3y

Combine like terms: 15 + -2 = 13
48 + 7y = 13 + 3y

Solving
48 + 7y = 13 + 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.
48 + 7y + -3y = 13 + 3y + -3y

Combine like terms: 7y + -3y = 4y
48 + 4y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
48 + 4y = 13 + 0
48 + 4y = 13

Add '-48' to each side of the equation.
48 + -48 + 4y = 13 + -48

Combine like terms: 48 + -48 = 0
0 + 4y = 13 + -48
4y = 13 + -48

Combine like terms: 13 + -48 = -35
4y = -35

Divide each side by '4'.
y = -8.75

Simplifying
y = -8.75

See similar equations:

| -5y-13=16-3y | | -14u=28 | | 12x-9y=15 | | 5(10-2)+11x=8x+3(4x-2) | | -8q-9(5-3q)=12 | | 4x+7(5x+1)=23+7x | | -(15w+8w)-(4w-6z)= | | 6(4n-3)-3(5-2n)=57 | | 5(y+9)+y=4(y+2)-8 | | 11.5+3a=-16.9 | | 3(n+n+2)=18+5(n+4) | | 3.5=14w | | 0.19x+0.7(x-3)=0.01(5x-4) | | 7/3t+3/8=5/6 | | w-0.75=-1 | | 7(2n+2)=6(7n+7)+3 | | 5-3(x+4)=5x-23 | | (-8/5)/(-9/19) | | x^2+15x=14 | | (30-2x)*(20-2x)=416 | | x^2+14=14 | | Z3/10+z1/10=-8 | | 3(3n+5)=8(4n+9)+5 | | 3(4x+6)=75-9x | | 0.12(y-9)+0.16y=0.20y-0.01(60) | | 4(2n+3)-5(3n+2)=9 | | 22x-10=12 | | x3/2=35 | | 3c^-7/d^-6 | | x^2+y^2+10x+2y-4070=0 | | 0.02(y-7)+0.18y=0.10y-0.01(30) | | 2(a-7)-7=9 |

Equations solver categories