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

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


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

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

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

Combine like terms: 7y + 3y = 10y
-15 + 10y = 3(y + 2) + -2

Reorder the terms:
-15 + 10y = 3(2 + y) + -2
-15 + 10y = (2 * 3 + y * 3) + -2
-15 + 10y = (6 + 3y) + -2

Reorder the terms:
-15 + 10y = 6 + -2 + 3y

Combine like terms: 6 + -2 = 4
-15 + 10y = 4 + 3y

Solving
-15 + 10y = 4 + 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.
-15 + 10y + -3y = 4 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-15 + 7y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
-15 + 7y = 4 + 0
-15 + 7y = 4

Add '15' to each side of the equation.
-15 + 15 + 7y = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 7y = 4 + 15
7y = 4 + 15

Combine like terms: 4 + 15 = 19
7y = 19

Divide each side by '7'.
y = 2.714285714

Simplifying
y = 2.714285714

See similar equations:

| r-25=-43 | | (2x-5)+52=5x-15 | | 4n-14=-6 | | -3(6+8m)=12-9(3m+5) | | -3[s]=18 | | 6x-15+3x=7+9x-22 | | 4x+2x=15+7x | | 1260=180(n-2) | | -6n=-30 | | -9(x-8)+(17x)=8(x-3)-17 | | 8x+9y=22 | | 4b-4(1-6)=b-9 | | 12-(x+6)=7x-2 | | 3x-4=2x+12 | | 4(7x+5)= | | 3x/5+2=x | | -9+(-9)= | | Y+(-8)=6 | | 3(x-1)+45=-3x | | 9y-13-4y+9=0 | | -2(k+4)=60 | | 7j=5j+10 | | X-(-4)=-9 | | 7+11j-2j=52 | | 11/131/2= | | 18v-27=v | | 2(y+3)=-6(y-1)-8 | | 7*(-3)*(-2)= | | 3/71/9= | | 2e+5=35 | | 20x-2=32x+7 | | 3x+3=6x+6 |

Equations solver categories