3(2y+4)=4(y+7)-2

Simple and best practice solution for 3(2y+4)=4(y+7)-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 3(2y+4)=4(y+7)-2 equation: 


Simplifying
3(2y + 4) = 4(y + 7) + -2

Reorder the terms:
3(4 + 2y) = 4(y + 7) + -2
(4 * 3 + 2y * 3) = 4(y + 7) + -2
(12 + 6y) = 4(y + 7) + -2

Reorder the terms:
12 + 6y = 4(7 + y) + -2
12 + 6y = (7 * 4 + y * 4) + -2
12 + 6y = (28 + 4y) + -2

Reorder the terms:
12 + 6y = 28 + -2 + 4y

Combine like terms: 28 + -2 = 26
12 + 6y = 26 + 4y

Solving
12 + 6y = 26 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
12 + 6y + -4y = 26 + 4y + -4y

Combine like terms: 6y + -4y = 2y
12 + 2y = 26 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + 2y = 26 + 0
12 + 2y = 26

Add '-12' to each side of the equation.
12 + -12 + 2y = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 26 + -12
2y = 26 + -12

Combine like terms: 26 + -12 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

See similar equations:

| 3w-6w=15 | | 45-4r=45-4r | | -3(5-15n)=15(3n-2) | | 10-3w-5+w=25 | | 3n-5=-23 | | 8-y=16 | | x+2=23 | | -3z=9 | | d-5=-14 | | 28-12=4(x-6) | | 5(r-2)(r-2)=35 | | -2(6-20n)=20(2n-3) | | 3(x-1)-9=0 | | -23=3x-5x-9 | | H-7=16 | | 8-n=12 | | M-9=10 | | K-7=5 | | F-6=1 | | 18x^2-24x=0 | | -4x-4x=43-3 | | T+10=50 | | 7w-17w=80 | | 12-L=L+1 | | A+9=15 | | 8z=-16 | | -5(6)+2(6)+2=20-6(6) | | 4d-11=2d+29 | | y+1=21 | | -20=x+3 | | 5n-9=-34 | | 14y+20=4y |

Equations solver categories