2(1+2y)=3(2y-4)

Simple and best practice solution for 2(1+2y)=3(2y-4) 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(1+2y)=3(2y-4) equation: 


Simplifying
2(1 + 2y) = 3(2y + -4)
(1 * 2 + 2y * 2) = 3(2y + -4)
(2 + 4y) = 3(2y + -4)

Reorder the terms:
2 + 4y = 3(-4 + 2y)
2 + 4y = (-4 * 3 + 2y * 3)
2 + 4y = (-12 + 6y)

Solving
2 + 4y = -12 + 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.
2 + 4y + -6y = -12 + 6y + -6y

Combine like terms: 4y + -6y = -2y
2 + -2y = -12 + 6y + -6y

Combine like terms: 6y + -6y = 0
2 + -2y = -12 + 0
2 + -2y = -12

Add '-2' to each side of the equation.
2 + -2 + -2y = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -2y = -12 + -2
-2y = -12 + -2

Combine like terms: -12 + -2 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

See similar equations:

| 5b-4b=6b+2 | | B=hm | | 2(4r-6)-4(r-5)= | | 7+8x-12=3x-8+5x | | 6(c-10)+3(2c-7)=-45 | | w^2+5w=84 | | 2x+7=3x-9 | | -(7y+1)-(-6y-3)=1 | | l=w+5 | | 10z-z=-2+3z-1-9 | | 7t-3(9-5t)=-5t | | 16=1x | | i=400*0.11*2 | | 2x-3x=7-15x | | 16x-4=4-4x | | 3y-2y+7=12-4y | | 2x-14=7-x | | I=400*0.12*2 | | 2-5y=-3y+6 | | 5w*w=84 | | -(7y+4)-(-6y-7)=-1 | | 40*.5+6y=16 | | 19-15x=-131 | | 3x^3+2x^2=x | | 2y^2-21-7y=y^2-3y | | -(3y+4)-(-2y-5)=-4 | | -5(7n-5)+3n= | | P=2(62)+2(82) | | 40x+6y=16 | | a^2-5a-14=0 | | P=2(77)+2(123) | | 104-12t=152 |

Equations solver categories