(y-3)(y+3)=(y+7)(y-3)

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


Simplifying
(y + -3)(y + 3) = (y + 7)(y + -3)

Reorder the terms:
(-3 + y)(y + 3) = (y + 7)(y + -3)

Reorder the terms:
(-3 + y)(3 + y) = (y + 7)(y + -3)

Multiply (-3 + y) * (3 + y)
(-3(3 + y) + y(3 + y)) = (y + 7)(y + -3)
((3 * -3 + y * -3) + y(3 + y)) = (y + 7)(y + -3)
((-9 + -3y) + y(3 + y)) = (y + 7)(y + -3)
(-9 + -3y + (3 * y + y * y)) = (y + 7)(y + -3)
(-9 + -3y + (3y + y2)) = (y + 7)(y + -3)

Combine like terms: -3y + 3y = 0
(-9 + 0 + y2) = (y + 7)(y + -3)
(-9 + y2) = (y + 7)(y + -3)

Reorder the terms:
-9 + y2 = (7 + y)(y + -3)

Reorder the terms:
-9 + y2 = (7 + y)(-3 + y)

Multiply (7 + y) * (-3 + y)
-9 + y2 = (7(-3 + y) + y(-3 + y))
-9 + y2 = ((-3 * 7 + y * 7) + y(-3 + y))
-9 + y2 = ((-21 + 7y) + y(-3 + y))
-9 + y2 = (-21 + 7y + (-3 * y + y * y))
-9 + y2 = (-21 + 7y + (-3y + y2))

Combine like terms: 7y + -3y = 4y
-9 + y2 = (-21 + 4y + y2)

Add '-1y2' to each side of the equation.
-9 + y2 + -1y2 = -21 + 4y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-9 + 0 = -21 + 4y + y2 + -1y2
-9 = -21 + 4y + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-9 = -21 + 4y + 0
-9 = -21 + 4y

Solving
-9 = -21 + 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.
-9 + -4y = -21 + 4y + -4y

Combine like terms: 4y + -4y = 0
-9 + -4y = -21 + 0
-9 + -4y = -21

Add '9' to each side of the equation.
-9 + 9 + -4y = -21 + 9

Combine like terms: -9 + 9 = 0
0 + -4y = -21 + 9
-4y = -21 + 9

Combine like terms: -21 + 9 = -12
-4y = -12

Divide each side by '-4'.
y = 3

Simplifying
y = 3

See similar equations:

| -6y-37=27 | | 9x=16+6x | | 4.84=0.1781x-0.2446 | | 7x^2+x+8= | | log(4)(6x-8)=2 | | 5(x+6)=10+x | | (2u-3)(5-u)=0 | | -7x-3=13x+19 | | 6a^2-8ab+2a=0 | | 3x^2=12x-15 | | 4x^3-5=0 | | 6r^2=6r+36 | | (z-4)(z-6)= | | 12x+144=288 | | 6n^2+16n=0 | | 4(3-2x)-7(x-5)+(7-4x)-(x+5)=20 | | -9x-2=-42 | | 2x^2=175 | | tanx=13 | | abs(5x-2)+2=7 | | 1224/9000 | | 8+4(-5-3x)=-6(2-6x) | | 9000/1224 | | 6(a+5)=-3(2-6a) | | 8log(10)=0 | | -30-7m=2(2m-6)-8m | | 28000(1-X)=25270 | | P=b+2a+4cforb | | 10x+7y=20 | | 15s-17s=10 | | 9(v+3)-3v=2(3v+3)-8 | | 8+r=-7(r-8) |

Equations solver categories