7y-3(2y+6)=5y-(3y+10)

Simple and best practice solution for 7y-3(2y+6)=5y-(3y+10) 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 7y-3(2y+6)=5y-(3y+10) equation:


Simplifying
7y + -3(2y + 6) = 5y + -1(3y + 10)

Reorder the terms:
7y + -3(6 + 2y) = 5y + -1(3y + 10)
7y + (6 * -3 + 2y * -3) = 5y + -1(3y + 10)
7y + (-18 + -6y) = 5y + -1(3y + 10)

Reorder the terms:
-18 + 7y + -6y = 5y + -1(3y + 10)

Combine like terms: 7y + -6y = 1y
-18 + 1y = 5y + -1(3y + 10)

Reorder the terms:
-18 + 1y = 5y + -1(10 + 3y)
-18 + 1y = 5y + (10 * -1 + 3y * -1)
-18 + 1y = 5y + (-10 + -3y)

Reorder the terms:
-18 + 1y = -10 + 5y + -3y

Combine like terms: 5y + -3y = 2y
-18 + 1y = -10 + 2y

Solving
-18 + 1y = -10 + 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.
-18 + 1y + -2y = -10 + 2y + -2y

Combine like terms: 1y + -2y = -1y
-18 + -1y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-18 + -1y = -10 + 0
-18 + -1y = -10

Add '18' to each side of the equation.
-18 + 18 + -1y = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -1y = -10 + 18
-1y = -10 + 18

Combine like terms: -10 + 18 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

See similar equations:

| 18-8+x=8+3-1 | | 3x-2(5x-4)=4x-(2x-26) | | 12pq*2r= | | -16x^2+144=0 | | 6a-4(2a+3)=7a | | 5y-3(y-1)=4y+1 | | 5x-3(x+1)=x-10 | | 6x^2+2+7x=0 | | 2(x-3)+5=3x+6 | | 3*22-66= | | (3)22-66= | | 29(x-3)-5=3x+6 | | 2(x+3)-5=x-10 | | -10(y-2)=2(-2y) | | 10(2y-2)=-2(2y-3) | | 10(y-2)=-2(2y+3) | | 6y=x-11 | | -7(x-1)=5(x+3) | | y=-3x+12 | | 7(x-1)=5(x+3) | | n^2+3n-130=0 | | -7x+5=-15 | | 6y+3x=2 | | x+6y=11 | | -8x+9y=-1 | | (50-x)(5x+3)= | | 3x-5y=-11 | | 2(16-4x)8=6(x+2) | | 23x-45=6(3x-7)+5x-3 | | 2(x+1)=3(2x+1) | | 7(x+1)=5(x-1) | | 3x+y=36 |

Equations solver categories