3y+4(7y-2)+5=9(2y-3)-3(y-72)

Simple and best practice solution for 3y+4(7y-2)+5=9(2y-3)-3(y-72) 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 3y+4(7y-2)+5=9(2y-3)-3(y-72) equation:


Simplifying
3y + 4(7y + -2) + 5 = 9(2y + -3) + -3(y + -72)

Reorder the terms:
3y + 4(-2 + 7y) + 5 = 9(2y + -3) + -3(y + -72)
3y + (-2 * 4 + 7y * 4) + 5 = 9(2y + -3) + -3(y + -72)
3y + (-8 + 28y) + 5 = 9(2y + -3) + -3(y + -72)

Reorder the terms:
-8 + 5 + 3y + 28y = 9(2y + -3) + -3(y + -72)

Combine like terms: -8 + 5 = -3
-3 + 3y + 28y = 9(2y + -3) + -3(y + -72)

Combine like terms: 3y + 28y = 31y
-3 + 31y = 9(2y + -3) + -3(y + -72)

Reorder the terms:
-3 + 31y = 9(-3 + 2y) + -3(y + -72)
-3 + 31y = (-3 * 9 + 2y * 9) + -3(y + -72)
-3 + 31y = (-27 + 18y) + -3(y + -72)

Reorder the terms:
-3 + 31y = -27 + 18y + -3(-72 + y)
-3 + 31y = -27 + 18y + (-72 * -3 + y * -3)
-3 + 31y = -27 + 18y + (216 + -3y)

Reorder the terms:
-3 + 31y = -27 + 216 + 18y + -3y

Combine like terms: -27 + 216 = 189
-3 + 31y = 189 + 18y + -3y

Combine like terms: 18y + -3y = 15y
-3 + 31y = 189 + 15y

Solving
-3 + 31y = 189 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
-3 + 31y + -15y = 189 + 15y + -15y

Combine like terms: 31y + -15y = 16y
-3 + 16y = 189 + 15y + -15y

Combine like terms: 15y + -15y = 0
-3 + 16y = 189 + 0
-3 + 16y = 189

Add '3' to each side of the equation.
-3 + 3 + 16y = 189 + 3

Combine like terms: -3 + 3 = 0
0 + 16y = 189 + 3
16y = 189 + 3

Combine like terms: 189 + 3 = 192
16y = 192

Divide each side by '16'.
y = 12

Simplifying
y = 12

See similar equations:

| 11-10x=83-31x | | 6x^2-7=47 | | -137-10x=10x+23 | | 5x*x+2x+9=-8 | | x*x*x+5x*x+2x+9=-8 | | n+(n+2)+(n+4)=24 | | 19-4x=28-5y | | 4x^2-15x+18=0 | | 7-5x=2x-14 | | 4x^2-15x+8=0 | | 2x^3-3x^2-12x-1=0 | | 52-2x=7x+18 | | x-2x-4x= | | 67-3x=10x+16 | | 9(x-1)=0.9 | | -16t^2+38.4t+3.5=0 | | 8m+14=9 | | 8(a+9)=122.4 | | 13a-10=-22 | | -16t^2+38.4t+3.5=h | | x^4=6 | | -2.2=2c-3 | | 2x+61=7x+11 | | x^3=6 | | 5(2x-9)-2x-17=6(x+9) | | 6e-2=41.8 | | 6p=51.6 | | -5(m+6)=3(3m+18) | | 4(x)=32 | | 7y+14-4y=-37 | | 4(a+5)=56 | | -2(c-16)=88 |

Equations solver categories