3(y+1)-(3y-5)=2(5y+5)+18

Simple and best practice solution for 3(y+1)-(3y-5)=2(5y+5)+18 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(y+1)-(3y-5)=2(5y+5)+18 equation:


Simplifying
3(y + 1) + -1(3y + -5) = 2(5y + 5) + 18

Reorder the terms:
3(1 + y) + -1(3y + -5) = 2(5y + 5) + 18
(1 * 3 + y * 3) + -1(3y + -5) = 2(5y + 5) + 18
(3 + 3y) + -1(3y + -5) = 2(5y + 5) + 18

Reorder the terms:
3 + 3y + -1(-5 + 3y) = 2(5y + 5) + 18
3 + 3y + (-5 * -1 + 3y * -1) = 2(5y + 5) + 18
3 + 3y + (5 + -3y) = 2(5y + 5) + 18

Reorder the terms:
3 + 5 + 3y + -3y = 2(5y + 5) + 18

Combine like terms: 3 + 5 = 8
8 + 3y + -3y = 2(5y + 5) + 18

Combine like terms: 3y + -3y = 0
8 + 0 = 2(5y + 5) + 18
8 = 2(5y + 5) + 18

Reorder the terms:
8 = 2(5 + 5y) + 18
8 = (5 * 2 + 5y * 2) + 18
8 = (10 + 10y) + 18

Reorder the terms:
8 = 10 + 18 + 10y

Combine like terms: 10 + 18 = 28
8 = 28 + 10y

Solving
8 = 28 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
8 + -10y = 28 + 10y + -10y

Combine like terms: 10y + -10y = 0
8 + -10y = 28 + 0
8 + -10y = 28

Add '-8' to each side of the equation.
8 + -8 + -10y = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -10y = 28 + -8
-10y = 28 + -8

Combine like terms: 28 + -8 = 20
-10y = 20

Divide each side by '-10'.
y = -2

Simplifying
y = -2

See similar equations:

| 2y-8=-3y+6-8 | | 3(x-2)=10x-6-7x | | 4v+12=2v+12-8 | | 4(3x+2)-x=-11x+-11 | | 4(3x+2)-x=-11x+11 | | 4(3x+2)-x=-11x+8 | | 7/9y=21 | | 2+3(2x-3)=-2 | | 3r+12+2r+10=32 | | .19y+.07(y+3000)=1510 | | u=15-3u+1 | | 4(3x+2)-x=11x-1 | | 3x^2+19=14 | | 4t+6+3t=14 | | -.11(18x+27)=1+x-4-3 | | 5q-6=2q+6 | | 4+3x=2-10 | | 3x+4(2x+5)=15x+12 | | 1y+1x+1z= | | 4s+6(1026-s)=4922 | | 6(3-(5+4x))-4x=-14+2(1-14x) | | (x-4)(x+14)(x-5+8i)(x+5+8i)=y | | (x-4)(x+14)(x-5+8i)(x+5+8i)= | | -6+10-2x=-4x+7 | | 8-2b=-.66(12b+6) | | y-0=2.5(x-23.6) | | y-0=2.5(x-23.6) | | 6r+12l=72 | | 9r+6l=48 | | 3s+6b=42 | | 8p+6a=34 | | 7r+4b=49 |

Equations solver categories