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

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


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

Reorder the terms:
7y + 2(-5 + y) = 3(y + 1) + -2
7y + (-5 * 2 + y * 2) = 3(y + 1) + -2
7y + (-10 + 2y) = 3(y + 1) + -2

Reorder the terms:
-10 + 7y + 2y = 3(y + 1) + -2

Combine like terms: 7y + 2y = 9y
-10 + 9y = 3(y + 1) + -2

Reorder the terms:
-10 + 9y = 3(1 + y) + -2
-10 + 9y = (1 * 3 + y * 3) + -2
-10 + 9y = (3 + 3y) + -2

Reorder the terms:
-10 + 9y = 3 + -2 + 3y

Combine like terms: 3 + -2 = 1
-10 + 9y = 1 + 3y

Solving
-10 + 9y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-10 + 9y + -3y = 1 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-10 + 6y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-10 + 6y = 1 + 0
-10 + 6y = 1

Add '10' to each side of the equation.
-10 + 10 + 6y = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 6y = 1 + 10
6y = 1 + 10

Combine like terms: 1 + 10 = 11
6y = 11

Divide each side by '6'.
y = 1.833333333

Simplifying
y = 1.833333333

See similar equations:

| -4m-8m+10= | | 7k+5-3+4k= | | 5y-5=-9y | | 8x^2-64x+120=0 | | 3x^2-20x+12=0 | | 2m+n=3 | | -12.41+x=-0.06 | | -7c-3c-20=50 | | 6r-2r+15=-25 | | 3x+(3+2x)+18=24 | | -(a+7)= | | w^2+w=12 | | c+32=124 | | 4p^2+25p+25=0 | | 3c-7=2 | | 6(x+8)=5x-4 | | 6-2x=40 | | 4m-3=9m+7 | | 6p+4+10p-1= | | -5(y-7)=-20 | | 5x-4=7y+3 | | 27=-9(z-1) | | 2x+3y=6x | | -5(a+2)=30 | | 2(8+w)=22+14w | | 10(n-3)= | | 0.1b=3.7 | | 16=-4(r+2) | | -(x-1)=-12 | | -2(6-10x)=10(2x-6) | | 7x^2+29x+30=0 | | 21v=8v^2-9 |

Equations solver categories