4(y+1)-(3-5y)=-2(y-2)

Simple and best practice solution for 4(y+1)-(3-5y)=-2(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 4(y+1)-(3-5y)=-2(y-2) equation:


Simplifying
4(y + 1) + -1(3 + -5y) = -2(y + -2)

Reorder the terms:
4(1 + y) + -1(3 + -5y) = -2(y + -2)
(1 * 4 + y * 4) + -1(3 + -5y) = -2(y + -2)
(4 + 4y) + -1(3 + -5y) = -2(y + -2)
4 + 4y + (3 * -1 + -5y * -1) = -2(y + -2)
4 + 4y + (-3 + 5y) = -2(y + -2)

Reorder the terms:
4 + -3 + 4y + 5y = -2(y + -2)

Combine like terms: 4 + -3 = 1
1 + 4y + 5y = -2(y + -2)

Combine like terms: 4y + 5y = 9y
1 + 9y = -2(y + -2)

Reorder the terms:
1 + 9y = -2(-2 + y)
1 + 9y = (-2 * -2 + y * -2)
1 + 9y = (4 + -2y)

Solving
1 + 9y = 4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
1 + 9y + 2y = 4 + -2y + 2y

Combine like terms: 9y + 2y = 11y
1 + 11y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
1 + 11y = 4 + 0
1 + 11y = 4

Add '-1' to each side of the equation.
1 + -1 + 11y = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 11y = 4 + -1
11y = 4 + -1

Combine like terms: 4 + -1 = 3
11y = 3

Divide each side by '11'.
y = 0.2727272727

Simplifying
y = 0.2727272727

See similar equations:

| 5x-82=15x+8 | | -4x-6x=8-9x | | [2x-9]=1 | | 6-3y=6 | | 2x^2-5x-14=3x-2 | | x(5+x)=150 | | 4x-6=12-10x | | 2x-1=1+x | | 0.03(x-(-4))-0.06(3x-7)= | | 45t=-5t^2+50t | | 5.1q-5.1-5.5q=-1.4q-5.3 | | 3x^2-kx+2k=0 | | 0.03(x-(4))-0.06(3x-7)= | | -14+5=32 | | 45=-5t^2+50t | | xy+4y=9 | | 7(7+7v)-6=8v-40 | | x^4-3x^2-5=0 | | x(175+x)=30625 | | 11k-(2k+4)=3-k+8 | | -4x^2-17x+15=0 | | x[2x-(3-x)]-3(x-1)=0 | | -5x+13=57 | | 136-6x=30x+16 | | (2.67)x=-5.5 | | 2x-55=11-280 | | -4x^2-3x+15=0 | | (3.67)x=-5.5 | | 3x-20/6+x/30=x/5-2 | | -4(0,5x-2)-4=2(-x+2) | | 4(k-9)-(-6k-5)=9k | | 2x^2-16+30=0 |

Equations solver categories