2(y-1)=y+7-3(-5y-3)

Simple and best practice solution for 2(y-1)=y+7-3(-5y-3) 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)=y+7-3(-5y-3) equation:


Simplifying
2(y + -1) = y + 7 + -3(-5y + -3)

Reorder the terms:
2(-1 + y) = y + 7 + -3(-5y + -3)
(-1 * 2 + y * 2) = y + 7 + -3(-5y + -3)
(-2 + 2y) = y + 7 + -3(-5y + -3)

Reorder the terms:
-2 + 2y = y + 7 + -3(-3 + -5y)
-2 + 2y = y + 7 + (-3 * -3 + -5y * -3)
-2 + 2y = y + 7 + (9 + 15y)

Reorder the terms:
-2 + 2y = 7 + 9 + y + 15y

Combine like terms: 7 + 9 = 16
-2 + 2y = 16 + y + 15y

Combine like terms: y + 15y = 16y
-2 + 2y = 16 + 16y

Solving
-2 + 2y = 16 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-2 + 2y + -16y = 16 + 16y + -16y

Combine like terms: 2y + -16y = -14y
-2 + -14y = 16 + 16y + -16y

Combine like terms: 16y + -16y = 0
-2 + -14y = 16 + 0
-2 + -14y = 16

Add '2' to each side of the equation.
-2 + 2 + -14y = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -14y = 16 + 2
-14y = 16 + 2

Combine like terms: 16 + 2 = 18
-14y = 18

Divide each side by '-14'.
y = -1.285714286

Simplifying
y = -1.285714286

See similar equations:

| 2x+10=3x+14 | | 4-2(x-3)=8+4x | | 7b+3-3b=27 | | 5x-15=20+2x | | 14=-2x+6 | | (350)=14.98x | | 7c-1=2c+5 | | 16x-4=32x+8 | | (-15)(-2.5x)(.25)=00 | | 5z+4=4z+5 | | 5t^2+8t=30 | | 4x+3-4x=5 | | 3v^2+11v-14=0 | | 7n=2 | | 9x+2-3x=2 | | 21-a=3 | | 30-(x+9)=7x-3 | | 7y-6-5y+5=0 | | 70-a=4.5 | | 11x-2-4x=47 | | 3(x+4)+2x=32 | | 4x+5x-3=87 | | 3y+1=x | | 45b^2-20=0 | | (4+2x^3)+(5x^3+2)= | | 3h^2+32h-11=0 | | 9(3b+1)=7(2b+4) | | 9-4(x-4)=-6x+6 | | 8(x-6)=-25.6 | | 8(a+3)=35.2 | | 7x+3=5z+7 | | y=1.23 |

Equations solver categories