5y+2(y-4)=7-(6-y)

Simple and best practice solution for 5y+2(y-4)=7-(6-y) 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 5y+2(y-4)=7-(6-y) equation:


Simplifying
5y + 2(y + -4) = 7 + -1(6 + -1y)

Reorder the terms:
5y + 2(-4 + y) = 7 + -1(6 + -1y)
5y + (-4 * 2 + y * 2) = 7 + -1(6 + -1y)
5y + (-8 + 2y) = 7 + -1(6 + -1y)

Reorder the terms:
-8 + 5y + 2y = 7 + -1(6 + -1y)

Combine like terms: 5y + 2y = 7y
-8 + 7y = 7 + -1(6 + -1y)
-8 + 7y = 7 + (6 * -1 + -1y * -1)
-8 + 7y = 7 + (-6 + 1y)

Combine like terms: 7 + -6 = 1
-8 + 7y = 1 + 1y

Solving
-8 + 7y = 1 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 7y + -1y = 1 + 1y + -1y

Combine like terms: 7y + -1y = 6y
-8 + 6y = 1 + 1y + -1y

Combine like terms: 1y + -1y = 0
-8 + 6y = 1 + 0
-8 + 6y = 1

Add '8' to each side of the equation.
-8 + 8 + 6y = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = 1 + 8
6y = 1 + 8

Combine like terms: 1 + 8 = 9
6y = 9

Divide each side by '6'.
y = 1.5

Simplifying
y = 1.5

See similar equations:

| 8x^2=-48x | | 3a^2=14a | | 7b^2-21b-126=0 | | 14x-3=6x+5 | | -1/2x-4/7=1/4 | | -8x=84 | | X=(2x-1)(x+4)(x-2) | | 8x+2+4x-20=162 | | (x/2-4)^2 | | p=2*(7+2)+2(11+2) | | 2(y-1)=y+1 | | -2y+9=1 | | 1/x^-3/6 | | 10x-7+7x+11=259 | | X=4x^3+2x-2 | | 3c-9=108 | | f(x)=3rankx+1 | | 15x-4-8x-10=20 | | -7k+2=-10 | | 163=73c | | P(100)=110 | | x-5x=40 | | 11-2.5x=x+46 | | 2y+y+16=4 | | 7x+8+5x-12=8 | | P(160)=191 | | (2-z)(4z+6)=0 | | 3/4c-9=27 | | 4*-2+5=-3 | | 18=48 | | 4(4w)+4w=26 | | 13x+15+5x-17=358 |

Equations solver categories