15(y-4)-2(y-9)+5(y+6)=6

Simple and best practice solution for 15(y-4)-2(y-9)+5(y+6)=6 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 15(y-4)-2(y-9)+5(y+6)=6 equation:


Simplifying
15(y + -4) + -2(y + -9) + 5(y + 6) = 6

Reorder the terms:
15(-4 + y) + -2(y + -9) + 5(y + 6) = 6
(-4 * 15 + y * 15) + -2(y + -9) + 5(y + 6) = 6
(-60 + 15y) + -2(y + -9) + 5(y + 6) = 6

Reorder the terms:
-60 + 15y + -2(-9 + y) + 5(y + 6) = 6
-60 + 15y + (-9 * -2 + y * -2) + 5(y + 6) = 6
-60 + 15y + (18 + -2y) + 5(y + 6) = 6

Reorder the terms:
-60 + 15y + 18 + -2y + 5(6 + y) = 6
-60 + 15y + 18 + -2y + (6 * 5 + y * 5) = 6
-60 + 15y + 18 + -2y + (30 + 5y) = 6

Reorder the terms:
-60 + 18 + 30 + 15y + -2y + 5y = 6

Combine like terms: -60 + 18 = -42
-42 + 30 + 15y + -2y + 5y = 6

Combine like terms: -42 + 30 = -12
-12 + 15y + -2y + 5y = 6

Combine like terms: 15y + -2y = 13y
-12 + 13y + 5y = 6

Combine like terms: 13y + 5y = 18y
-12 + 18y = 6

Solving
-12 + 18y = 6

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 18y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 18y = 6 + 12
18y = 6 + 12

Combine like terms: 6 + 12 = 18
18y = 18

Divide each side by '18'.
y = 1

Simplifying
y = 1

See similar equations:

| 6(3n+3)=8(9n+3)+3 | | -5x-7=-2x+5 | | 2u+17=16-4u | | 3k^2+16k+20=0 | | (x+7)(x+2)(x+1)=0 | | Y+3y=6 | | 30-z=-5z | | 5[3-2(x-8)]=5x-1 | | 8y-3y=10 | | 15x=192 | | 18-5x=9-8x | | 5x+7=-37-6x | | -5(2x-5)+9=-10x+34 | | 2x-2=24+x | | 4x-2=14-52 | | 3a+4b-a= | | (a-b)(a-b)-(a+b)(a+b)= | | 4x+2=12-56 | | 2-8x=3y-37(2y-x)=21+2(3y-1) | | 6=-3x+36 | | 4x+13=-15-3x | | 3a-b+8=0 | | 7r-3=3+6r | | -29-(-10x)=-18x+91 | | 38-(x+7)=8x-5 | | (80+4)2=84 | | -17-6x=47+10x | | 7(x-7)+22=2(x-6) | | 8x-5(x+5)=9(5-6x)+7 | | -4p-2+8p=-3+p+6 | | (80+40)2=84 | | -7x-3(1-4x)=9 |

Equations solver categories