3(y-10)=x(y-8)

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Solution for 3(y-10)=x(y-8) equation:


Simplifying
3(y + -10) = x(y + -8)

Reorder the terms:
3(-10 + y) = x(y + -8)
(-10 * 3 + y * 3) = x(y + -8)
(-30 + 3y) = x(y + -8)

Reorder the terms:
-30 + 3y = x(-8 + y)
-30 + 3y = (-8 * x + y * x)
-30 + 3y = (-8x + xy)

Solving
-30 + 3y = -8x + xy

Solving for variable 'y'.

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

Add '-1xy' to each side of the equation.
-30 + -1xy + 3y = -8x + xy + -1xy

Combine like terms: xy + -1xy = 0
-30 + -1xy + 3y = -8x + 0
-30 + -1xy + 3y = -8x

Add '30' to each side of the equation.
-30 + -1xy + 30 + 3y = 30 + -8x

Reorder the terms:
-30 + 30 + -1xy + 3y = 30 + -8x

Combine like terms: -30 + 30 = 0
0 + -1xy + 3y = 30 + -8x
-1xy + 3y = 30 + -8x

Reorder the terms:
-30 + 8x + -1xy + 3y = 30 + -8x + -30 + 8x

Reorder the terms:
-30 + 8x + -1xy + 3y = 30 + -30 + -8x + 8x

Combine like terms: 30 + -30 = 0
-30 + 8x + -1xy + 3y = 0 + -8x + 8x
-30 + 8x + -1xy + 3y = -8x + 8x

Combine like terms: -8x + 8x = 0
-30 + 8x + -1xy + 3y = 0

The solution to this equation could not be determined.

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