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

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


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

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

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

Combine like terms: -5 + 6 = 1
1 + y + 10y = -3(y + 2)

Combine like terms: y + 10y = 11y
1 + 11y = -3(y + 2)

Reorder the terms:
1 + 11y = -3(2 + y)
1 + 11y = (2 * -3 + y * -3)
1 + 11y = (-6 + -3y)

Solving
1 + 11y = -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.
1 + 11y + 3y = -6 + -3y + 3y

Combine like terms: 11y + 3y = 14y
1 + 14y = -6 + -3y + 3y

Combine like terms: -3y + 3y = 0
1 + 14y = -6 + 0
1 + 14y = -6

Add '-1' to each side of the equation.
1 + -1 + 14y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 14y = -6 + -1
14y = -6 + -1

Combine like terms: -6 + -1 = -7
14y = -7

Divide each side by '14'.
y = -0.5

Simplifying
y = -0.5

See similar equations:

| 1+b=3 | | 2.3h-15=4h | | -2(1+7n)=12 | | 2c+7.5=6.2-8 | | 5z+1= | | x=801+.25x | | y=x^2-24 | | 2xs-20i=8-(4y)i | | -8(-2+5x)=56 | | 9-2y=-15 | | 5i+3=161 | | (6x-3)(x+5)= | | 1/4b^2=16 | | N/4=35/20 | | b/8=16 | | 5(5)+13(13)=c^2 | | -1+19w=11w | | d/10-7=0 | | -(-2v+5)-v=0 | | 11=2+-3x | | 30(30)+40(40)=c^2 | | 2x^2-7x-25=0 | | 3x/4=25 | | a/3.5-12=-6.4 | | 25y^2-10= | | 36w^2=121 | | -37-8x=10x-17 | | 10(10)+3(3)=c^2 | | 0.3x-0.1x-9=-7 | | 8-0.8k=8 | | r/7+3=8 | | 5(-9)+10=-35 |

Equations solver categories