(y-4)-(y+7)=8y

Simple and best practice solution for (y-4)-(y+7)=8y 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-4)-(y+7)=8y equation:


Simplifying
(y + -4) + -1(y + 7) = 8y

Reorder the terms:
(-4 + y) + -1(y + 7) = 8y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 7) = 8y

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

Reorder the terms:
-4 + -7 + y + -1y = 8y

Combine like terms: -4 + -7 = -11
-11 + y + -1y = 8y

Combine like terms: y + -1y = 0
-11 + 0 = 8y
-11 = 8y

Solving
-11 = 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-11 + -8y = 8y + -8y

Combine like terms: 8y + -8y = 0
-11 + -8y = 0

Add '11' to each side of the equation.
-11 + 11 + -8y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -8y = 0 + 11
-8y = 0 + 11

Combine like terms: 0 + 11 = 11
-8y = 11

Divide each side by '-8'.
y = -1.375

Simplifying
y = -1.375

See similar equations:

| -18.4f-5.51+11.2f=-13.06+7.9f | | 13d=169 | | 4(q+3)=2(q-11) | | 1t=7 | | 2x^2=5x+5 | | 2(y-3)=2(3y+7) | | 12x^2+26x+10=0 | | 13.8+8.7n=7.2n | | 4.1s+19.96=0.5s-9.32+0.48 | | -35=7(z+3) | | (y-7)(y+4)=y-7 | | 2(p+9)-6=50 | | 10.1=-8s | | 12.2c-19.36=13.7c-8.86 | | 2x+16=6x-14 | | 5t+4=3t-2 | | t(7+t)=2(2t+5) | | -4.7-5.6q=-7.1q-18.2 | | 161x+15154*6546-56= | | 2y=3y+2b*3a | | 15-10+5q=-19+3q | | s(s-5)=36 | | 3p=25-10 | | 20g+19=19g | | 20x^2y^3-45y^3=0 | | -14k+16=-16k | | 2y^2-24y=-22 | | 1-10k=81 | | 3p=-10 | | 3r+10=-2r+5 | | 45p^7q-9p^5q^5-12p^5q^4+21p^5q^3=0 | | 4x^2+9x-55=0 |

Equations solver categories