y(10-(10-y))=(10-y)(21-2y)

Simple and best practice solution for y(10-(10-y))=(10-y)(21-2y) 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 y(10-(10-y))=(10-y)(21-2y) equation: 


Simplifying
y(10 + -1(10 + -1y)) = (10 + -1y)(21 + -2y)
y(10 + (10 * -1 + -1y * -1)) = (10 + -1y)(21 + -2y)
y(10 + (-10 + 1y)) = (10 + -1y)(21 + -2y)

Combine like terms: 10 + -10 = 0
y(0 + 1y) = (10 + -1y)(21 + -2y)
y(1y) = (10 + -1y)(21 + -2y)

Remove parenthesis around (1y)
y * 1y = (10 + -1y)(21 + -2y)

Reorder the terms for easier multiplication:
1y * y = (10 + -1y)(21 + -2y)

Multiply y * y
1y2 = (10 + -1y)(21 + -2y)

Multiply (10 + -1y) * (21 + -2y)
1y2 = (10(21 + -2y) + -1y * (21 + -2y))
1y2 = ((21 * 10 + -2y * 10) + -1y * (21 + -2y))
1y2 = ((210 + -20y) + -1y * (21 + -2y))
1y2 = (210 + -20y + (21 * -1y + -2y * -1y))
1y2 = (210 + -20y + (-21y + 2y2))

Combine like terms: -20y + -21y = -41y
1y2 = (210 + -41y + 2y2)

Solving
1y2 = 210 + -41y + 2y2

Solving for variable 'y'.

Reorder the terms:
-210 + 41y + 1y2 + -2y2 = 210 + -41y + 2y2 + -210 + 41y + -2y2

Combine like terms: 1y2 + -2y2 = -1y2
-210 + 41y + -1y2 = 210 + -41y + 2y2 + -210 + 41y + -2y2

Reorder the terms:
-210 + 41y + -1y2 = 210 + -210 + -41y + 41y + 2y2 + -2y2

Combine like terms: 210 + -210 = 0
-210 + 41y + -1y2 = 0 + -41y + 41y + 2y2 + -2y2
-210 + 41y + -1y2 = -41y + 41y + 2y2 + -2y2

Combine like terms: -41y + 41y = 0
-210 + 41y + -1y2 = 0 + 2y2 + -2y2
-210 + 41y + -1y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-210 + 41y + -1y2 = 0

Factor a trinomial.
(-35 + y)(6 + -1y) = 0


Subproblem 1
Set the factor '(-35 + y)' equal to zero and attempt to solve:

Simplifying
-35 + y = 0

Solving
-35 + y = 0

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

Add '35' to each side of the equation.
-35 + 35 + y = 0 + 35

Combine like terms: -35 + 35 = 0
0 + y = 0 + 35
y = 0 + 35

Combine like terms: 0 + 35 = 35
y = 35

Simplifying
y = 35

Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {35, 6}

See similar equations:

| (6n^2+6n-3)(6n^2+5n-5)= | | 2(x*x)-x-6=0 | | cos(3.14x)=4x^2-1 | | x-3=x+7 | | 6x+21=15 | | 10x-35x+4=18 | | B=1-a^2 | | 3x^2y*4xy^3= | | (x+3)(x-1-i)(x-1+i)= | | C=5d+25 | | 2(y-3)-y+4y=-1 | | 7(-9x-7)=8x | | -10(s+1)=28 | | 3(6-4m)=2(9-6m) | | 8h+1=6h+19 | | 3(5-5x)=7(5-5x) | | 3-x^3=3x-4 | | 1x+9=2x-7 | | 2(5g-5)=3(5g-10) | | -6x+53=5 | | 14y-5=7(2y-2) | | -6+53=5 | | -8x+23=103 | | -3x-14x=85 | | 3h=6h+6 | | 3x*30=180 | | (4x-5)(x-2)= | | 4t-3=13+4t | | 4(3s+4)=76 | | 9x-5y=113 | | 0=12x-12 | | -164=-50x+36 |

Equations solver categories