7y-8+2(3y+5)=-3(y+2)

Simple and best practice solution for 7y-8+2(3y+5)=-3(y+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-8+2(3y+5)=-3(y+2) equation:


Simplifying
7y + -8 + 2(3y + 5) = -3(y + 2)

Reorder the terms:
7y + -8 + 2(5 + 3y) = -3(y + 2)
7y + -8 + (5 * 2 + 3y * 2) = -3(y + 2)
7y + -8 + (10 + 6y) = -3(y + 2)

Reorder the terms:
-8 + 10 + 7y + 6y = -3(y + 2)

Combine like terms: -8 + 10 = 2
2 + 7y + 6y = -3(y + 2)

Combine like terms: 7y + 6y = 13y
2 + 13y = -3(y + 2)

Reorder the terms:
2 + 13y = -3(2 + y)
2 + 13y = (2 * -3 + y * -3)
2 + 13y = (-6 + -3y)

Solving
2 + 13y = -6 + -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.
2 + 13y + 3y = -6 + -3y + 3y

Combine like terms: 13y + 3y = 16y
2 + 16y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + 16y = -6 + 0
2 + 16y = -6

Add '-2' to each side of the equation.
2 + -2 + 16y = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 16y = -6 + -2
16y = -6 + -2

Combine like terms: -6 + -2 = -8
16y = -8

Divide each side by '16'.
y = -0.5

Simplifying
y = -0.5

See similar equations:

| 5-y/9=4 | | -2(4y-10)-y=-4(y-5) | | 5x+10=2(5x+5) | | -4w-3=-2w-7 | | 4u+26=-6(u+4) | | b-4forb=2 | | 6(16-p)+7p=100 | | 2x-5+x+25=90 | | -2t+7=-6t-13 | | 3(v-2)=-3v-30 | | 7x-14=12+4x | | (-12p^3q)/(4p^2q^2) | | 6t-33=-5t | | 70+1x=100+2.5x | | 5(a+2)-2(a+3)=6a-11 | | 3(v-3)=-3v-30 | | -10+18=-3(5-7)+5y | | a-4/5=5 | | (-5+5i)-(8-7i)= | | -2.5w+3.3=-5.6w-6 | | -0.6=-0.7u+0.4u | | 3a^2-10+a=0 | | 2(5+6x)+16=-90 | | 8v-33=-5(v+4) | | -2+4(-2z+8)=-5(-3z+4)+1 | | -12x^2-6x+10=0 | | 4y-13=15-x | | y-20=3x | | 2(x+7)+2x=6 | | 9v+12=3(3v+4) | | y=1/4+5 | | 16x^2+9y^2-36y=108 |

Equations solver categories