3(y+6)=4(y-5)

Simple and best practice solution for 3(y+6)=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+6)=4(y-5) equation:


Simplifying
3(y + 6) = 4(y + -5)

Reorder the terms:
3(6 + y) = 4(y + -5)
(6 * 3 + y * 3) = 4(y + -5)
(18 + 3y) = 4(y + -5)

Reorder the terms:
18 + 3y = 4(-5 + y)
18 + 3y = (-5 * 4 + y * 4)
18 + 3y = (-20 + 4y)

Solving
18 + 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.
18 + 3y + -4y = -20 + 4y + -4y

Combine like terms: 3y + -4y = -1y
18 + -1y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + -1y = -20 + 0
18 + -1y = -20

Add '-18' to each side of the equation.
18 + -18 + -1y = -20 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = -20 + -18
-1y = -20 + -18

Combine like terms: -20 + -18 = -38
-1y = -38

Divide each side by '-1'.
y = 38

Simplifying
y = 38

See similar equations:

| 9+10m-7=8m+9-5m | | -(7y-8)-(-6y+2)=-9 | | 0.10x+.05(12-x)=.10(11) | | t^2=4-3t | | 4(2y+3)+25(2y+3)-21=0 | | z+7z=-12 | | x^2-6*x+8=0 | | 10y=5y+10+4y | | 8(t-6)+4t=-4(3t+3)-8 | | 4(x-3)=3x-4 | | -4-3x=4y | | x^8-6x^7-6x^6= | | -(4y+5)-(-3y-8)=1 | | ax^2+bx=0 | | (y+7)+y=13 | | X^2+150x+5000=0 | | 12x^2+2x+4=0 | | 4y+6=y+18 | | X^2+150x-3400=0 | | .85x+.05(10-x)=.10(-91) | | x^2+3x=5 | | 2y+10=4+10y | | x^2+36=9-2*x^2 | | x^2+36=9-x^2 | | 0=-16t^2+48t+8 | | -5-7=-6+x | | 6(y-3)=3y-39 | | 6(y-3)=3y-9 | | 8=7d-3+4d | | 2*x^2-400=0 | | 11(8c-1)-16=86c+11 | | 3.5x=5-y |

Equations solver categories