4(-2y-3)=5(y-2)+2

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


Simplifying
4(-2y + -3) = 5(y + -2) + 2

Reorder the terms:
4(-3 + -2y) = 5(y + -2) + 2
(-3 * 4 + -2y * 4) = 5(y + -2) + 2
(-12 + -8y) = 5(y + -2) + 2

Reorder the terms:
-12 + -8y = 5(-2 + y) + 2
-12 + -8y = (-2 * 5 + y * 5) + 2
-12 + -8y = (-10 + 5y) + 2

Reorder the terms:
-12 + -8y = -10 + 2 + 5y

Combine like terms: -10 + 2 = -8
-12 + -8y = -8 + 5y

Solving
-12 + -8y = -8 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-12 + -8y + -5y = -8 + 5y + -5y

Combine like terms: -8y + -5y = -13y
-12 + -13y = -8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + -13y = -8 + 0
-12 + -13y = -8

Add '12' to each side of the equation.
-12 + 12 + -13y = -8 + 12

Combine like terms: -12 + 12 = 0
0 + -13y = -8 + 12
-13y = -8 + 12

Combine like terms: -8 + 12 = 4
-13y = 4

Divide each side by '-13'.
y = -0.3076923077

Simplifying
y = -0.3076923077

See similar equations:

| 3x^4+16=16 | | 2x+10=-18+2x | | F=1/2kq | | 11x-17=9x+11 | | 2x-7=-19-2x | | x^2+4y^2-2xy+2y+56=0 | | 5/12m-12=48 | | 6j+6n+9j+6n= | | 6j+66n+9j+6n= | | Y^2-4x-4=0 | | -7+5+(-4)-8= | | 3/16m=21 | | 3/16m-12=48 | | 5+7x=13+9x | | 1.3b=39 | | 1.3b=3a | | qs-4s+qf-4f= | | 0.2b+8=0.5b+11 | | p+0.02=0.08 | | 16x-14y=118 | | 15x=7x+8 | | a/15-2=0 | | 3x+17y=6 | | q=a+bp | | c-1/2=1/3 | | 3x+2y+1=666 | | ydx+(x-3y)dy=0 | | 10+6a=40 | | 1/5m-1=8 | | x^4+2x+16=0 | | mn-5n+7m-35= | | x^4+2x+4=0 |

Equations solver categories