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

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


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

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

Reorder the terms:
-2 + 2y = 3(-6 + y)
-2 + 2y = (-6 * 3 + y * 3)
-2 + 2y = (-18 + 3y)

Solving
-2 + 2y = -18 + 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.
-2 + 2y + -3y = -18 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-2 + -1y = -18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + -1y = -18 + 0
-2 + -1y = -18

Add '2' to each side of the equation.
-2 + 2 + -1y = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = -18 + 2
-1y = -18 + 2

Combine like terms: -18 + 2 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16

See similar equations:

| 2x(x+3)=2x^2+6x | | 6x+4y+7z-3x+3z-5y= | | cos(3x+30)=0.5 | | =(x-3*x)+(x-3*x)+(x*x+5)+(x*x+5)+(x-3)*(x+5)+(x-3)*(x+5) | | 4x+4y+7z-3x+3z-5y= | | -6(r-3)+3r-8= | | 5(t+x)=3(x+7) | | 11y+22=0 | | 2x-4*2=4 | | 9m+5m-3m+11n= | | 2(4w-5)-2(w-7)=6w-24 | | 6-2/10 | | A(W-B)=B(W+A)FORW | | 3(5m+2)+12+9m= | | p=(3p-7q) | | A(W-B)=B(W+A) | | -5x+50=4 | | 2c-2+7c-7= | | 20=2x-4/8 | | 56.5x-(25x.x/2)-40(x-2)=0 | | 3a+5b=8ab | | 3x=4x+2y | | 4(2a-b)-3(a-5b)= | | =7x+5y+6z-5x+4z-6y | | Cos(5x)=-cos(x) | | 15w^2+10w^3= | | -4y-14y+10y= | | 11w^2-10w^3= | | 2(n+6)=3n+10 | | 12a^2+20a= | | 3y-15=2y+9 | | 2x+2=6-3x |

Equations solver categories