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

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


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

Reorder the terms:
6y + 3(-5 + y) = 6(y + 1) + -2
6y + (-5 * 3 + y * 3) = 6(y + 1) + -2
6y + (-15 + 3y) = 6(y + 1) + -2

Reorder the terms:
-15 + 6y + 3y = 6(y + 1) + -2

Combine like terms: 6y + 3y = 9y
-15 + 9y = 6(y + 1) + -2

Reorder the terms:
-15 + 9y = 6(1 + y) + -2
-15 + 9y = (1 * 6 + y * 6) + -2
-15 + 9y = (6 + 6y) + -2

Reorder the terms:
-15 + 9y = 6 + -2 + 6y

Combine like terms: 6 + -2 = 4
-15 + 9y = 4 + 6y

Solving
-15 + 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.
-15 + 9y + -6y = 4 + 6y + -6y

Combine like terms: 9y + -6y = 3y
-15 + 3y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-15 + 3y = 4 + 0
-15 + 3y = 4

Add '15' to each side of the equation.
-15 + 15 + 3y = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 3y = 4 + 15
3y = 4 + 15

Combine like terms: 4 + 15 = 19
3y = 19

Divide each side by '3'.
y = 6.333333333

Simplifying
y = 6.333333333

See similar equations:

| 7x-4=-2x+1+9x-3 | | x+8-2x=3x | | -6(x-1)-16=28+4 | | 2.6x=4.8x+k | | 0.01(x+4)-0.04=0.01(x+1) | | -9y+5=13 | | 7x-4=-2+1+9x-3 | | x^2-50x-47=0 | | 3-4m=2 | | g[n]-2=14 | | -5+[(6-16)-(-5-4)]= | | -7(3x-1)+6=-21x+13 | | 4y=3(y+9) | | 6x+10+4x=30 | | 4x^2+17xy+18y^2=0 | | -7m-28=0 | | 9x-4+5= | | (x-0.15x)-85=0.30(85) | | 24276x+59064=x | | j+.42=-2.5 | | -38=3b+1 | | -8-6=3x+3-2x | | 5x^2+18-8= | | 7+16r-5=9r+114-7r | | 9x+4=9(x-6) | | 1=13-4a | | x/20=-45+28 | | 3x^2+14xy-24y^2=0 | | 0.4x-0.3(3)=1.9 | | 8(3a-5)=56a | | k-.6=-5.2 | | 2.5+(-2)-6=9 |

Equations solver categories