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

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


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

Reorder the terms:
3(4 + y) = 4(y + -5)
(4 * 3 + y * 3) = 4(y + -5)
(12 + 3y) = 4(y + -5)

Reorder the terms:
12 + 3y = 4(-5 + y)
12 + 3y = (-5 * 4 + y * 4)
12 + 3y = (-20 + 4y)

Solving
12 + 3y = -20 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
12 + 3y + -4y = -20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
12 + -1y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
12 + -1y = -20 + 0
12 + -1y = -20

Add '-12' to each side of the equation.
12 + -12 + -1y = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -1y = -20 + -12
-1y = -20 + -12

Combine like terms: -20 + -12 = -32
-1y = -32

Divide each side by '-1'.
y = 32

Simplifying
y = 32

See similar equations:

| 1.6=1.4(1+x) | | y=2x^2-3x+1 | | 4y+3x=12 | | 2(x-(-4))=42 | | x^2+24x-81=0 | | -4(2)-3y=7 | | -4(-1)-3y=7 | | -4Z=48 | | -x=6y+-6 | | 2x+5(4)=10 | | 2(x+3)-(2x+6)=0 | | (3x+4)(2x^2-7x+6)=0 | | 2x+5(-2)=10 | | 6x^3-13x^2-10x+24=0 | | 2(3)+y=10 | | x^5=.91 | | 19x+9y=69 | | 2y^2+8y-42=0 | | 37x-14+19x=-24 | | 8x+7y=82 | | 4x-2x=8-4 | | 15y+11=180 | | (12z+11)-(5z-1)= | | 2x^4-5x^2+3=0 | | y^4-4y^3=0 | | 6x^3+9x^2-60x= | | (2x+5)(x-9)=11-4x | | 25s^2-9=0 | | A^2-1=0 | | 3x^7-81x^4=0 | | 18x+51-57x=225 | | 4x^4+20x^2+25=0 |

Equations solver categories