2(4y+8)+3y=-3(2-3y)

Simple and best practice solution for 2(4y+8)+3y=-3(2-3y) 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 2(4y+8)+3y=-3(2-3y) equation:


Simplifying
2(4y + 8) + 3y = -3(2 + -3y)

Reorder the terms:
2(8 + 4y) + 3y = -3(2 + -3y)
(8 * 2 + 4y * 2) + 3y = -3(2 + -3y)
(16 + 8y) + 3y = -3(2 + -3y)

Combine like terms: 8y + 3y = 11y
16 + 11y = -3(2 + -3y)
16 + 11y = (2 * -3 + -3y * -3)
16 + 11y = (-6 + 9y)

Solving
16 + 11y = -6 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
16 + 11y + -9y = -6 + 9y + -9y

Combine like terms: 11y + -9y = 2y
16 + 2y = -6 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + 2y = -6 + 0
16 + 2y = -6

Add '-16' to each side of the equation.
16 + -16 + 2y = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 2y = -6 + -16
2y = -6 + -16

Combine like terms: -6 + -16 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

See similar equations:

| x-3/5=0 | | 49x^2+25= | | 3(4k+7)=8k+5(k+6) | | -1r+1r= | | 9x+14=138 | | t/36=12/72 | | 4(3x-3)-5(x+4)=4 | | 2n-7=0 | | t/6=12/72 | | 3+3x=21 | | 7x+7=-28 | | (5x+3)(5x-7)=0 | | 2(x+1)+3(2x+2)+4(3x+3)+5(4x+4)=640 | | 0.05x+0.10(x+7)=2.35 | | 14/12=21/t | | 5x/6+1/3=2x+2/3 | | 1/4p=3/4 | | -9-3/7x=-81/7 | | 67=15+m | | 9x*12345679=888888888 | | 70x+2x=290 | | n/12=441/21 | | 81x^2+72x+16= | | 40x^2-76x-60=0 | | 9x*12345679= | | (x^3+x^2+x+1)(7x-5)= | | (4x-5)(3x+5)=0 | | (x+3)(4x-5)=15 | | 5n=-2-7(6-7n) | | -6(12/3)+7= | | -(12)+8.5= | | (3/4)f+4=(1/4)*(3f+16) |

Equations solver categories