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

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


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

Reorder the terms:
7y + 3(-6 + y) = 6(y + 1) + -3
7y + (-6 * 3 + y * 3) = 6(y + 1) + -3
7y + (-18 + 3y) = 6(y + 1) + -3

Reorder the terms:
-18 + 7y + 3y = 6(y + 1) + -3

Combine like terms: 7y + 3y = 10y
-18 + 10y = 6(y + 1) + -3

Reorder the terms:
-18 + 10y = 6(1 + y) + -3
-18 + 10y = (1 * 6 + y * 6) + -3
-18 + 10y = (6 + 6y) + -3

Reorder the terms:
-18 + 10y = 6 + -3 + 6y

Combine like terms: 6 + -3 = 3
-18 + 10y = 3 + 6y

Solving
-18 + 10y = 3 + 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.
-18 + 10y + -6y = 3 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-18 + 4y = 3 + 6y + -6y

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

Add '18' to each side of the equation.
-18 + 18 + 4y = 3 + 18

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

Combine like terms: 3 + 18 = 21
4y = 21

Divide each side by '4'.
y = 5.25

Simplifying
y = 5.25

See similar equations:

| 12x-(8x-9)=45 | | 6x-7x+2=12 | | 2x-8+10=3x-7 | | 5*sin(14x)=5*cos(7x) | | 13x^2-8x-20=0 | | -2y+9x=3 | | -14+74=-5(x+3) | | 3y^2-4=y | | 2(4z+2)-6=70 | | 3(t+2)=7(7-t)-9 | | 3x-4x+5=54 | | 3m+6=37 | | 12-2a=18 | | 4.75=1.75+1a | | 20X+32=0 | | 60=32-4(x-3) | | 3x+4z=13 | | x=16+5n | | -3y=15-2x | | -20=-x/10 | | 7(3n-1)=(2n+8)+6 | | X+7=105 | | -x=-140 | | x-5=5n+11 | | Q=3xz-6 | | .6t+7=-8 | | 32+-1t=-1 | | -3-4m+9m=12 | | T-(-5)=5 | | 3(X-3)(X-1)(X-4)+2(X-2)(X-1)(X-4)-4(X-2)(X-3)(X-4)-1(X-2)(X-3)(X-1)=0 | | 3(4y-3)-4=4(5y-6)+7 | | 32-t=-1 |

Equations solver categories