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

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


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

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

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

Combine like terms: 7y + 3y = 10y
-15 + 10y = 5(y + 2) + -2

Reorder the terms:
-15 + 10y = 5(2 + y) + -2
-15 + 10y = (2 * 5 + y * 5) + -2
-15 + 10y = (10 + 5y) + -2

Reorder the terms:
-15 + 10y = 10 + -2 + 5y

Combine like terms: 10 + -2 = 8
-15 + 10y = 8 + 5y

Solving
-15 + 10y = 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.
-15 + 10y + -5y = 8 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-15 + 5y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-15 + 5y = 8 + 0
-15 + 5y = 8

Add '15' to each side of the equation.
-15 + 15 + 5y = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = 8 + 15
5y = 8 + 15

Combine like terms: 8 + 15 = 23
5y = 23

Divide each side by '5'.
y = 4.6

Simplifying
y = 4.6

See similar equations:

| 3x+4(-3x+3)=-33 | | -2x-6=-18 | | 155-6x=21x+23 | | 89+2x=9x+23 | | 8x+9=-55 | | 3/5y-10=-41/5 | | 2/3+6h=-11/6 | | 2(y+4)-5=-28 | | 37/6+22/7 | | 14x=10(x+4) | | 8z+4/9=9z+1/9 | | 18-2n=n+3 | | 10r=7r+33 | | 5(x+3)/4=6x-2 | | 9u-5u-3=5 | | 5y/4-y/2=-3/4 | | 7c-c=66 | | 4y-28=0 | | 11w-5w=48 | | 10a^2b+16ab^2= | | -12+12=4z+10 | | 61/6+31/7 | | -2+x=-37+11 | | 9r/10r | | 60x^4+70x^3-10x^2= | | 24x^3-64x^2+40x= | | y/2+y/3=5/6 | | x-48=0 | | x-5+x-3=2 | | 5(r-3)=10(y/2-3) | | 28=4-3x | | 11x^3-2x^2= |

Equations solver categories