3(y-10)+1=x(y+8)

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Solution for 3(y-10)+1=x(y+8) equation:


Simplifying
3(y + -10) + 1 = x(y + 8)

Reorder the terms:
3(-10 + y) + 1 = x(y + 8)
(-10 * 3 + y * 3) + 1 = x(y + 8)
(-30 + 3y) + 1 = x(y + 8)

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

Combine like terms: -30 + 1 = -29
-29 + 3y = x(y + 8)

Reorder the terms:
-29 + 3y = x(8 + y)
-29 + 3y = (8 * x + y * x)
-29 + 3y = (8x + xy)

Solving
-29 + 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.
-29 + -1xy + 3y = 8x + xy + -1xy

Combine like terms: xy + -1xy = 0
-29 + -1xy + 3y = 8x + 0
-29 + -1xy + 3y = 8x

Add '29' to each side of the equation.
-29 + -1xy + 29 + 3y = 29 + 8x

Reorder the terms:
-29 + 29 + -1xy + 3y = 29 + 8x

Combine like terms: -29 + 29 = 0
0 + -1xy + 3y = 29 + 8x
-1xy + 3y = 29 + 8x

Reorder the terms:
-29 + -8x + -1xy + 3y = 29 + 8x + -29 + -8x

Reorder the terms:
-29 + -8x + -1xy + 3y = 29 + -29 + 8x + -8x

Combine like terms: 29 + -29 = 0
-29 + -8x + -1xy + 3y = 0 + 8x + -8x
-29 + -8x + -1xy + 3y = 8x + -8x

Combine like terms: 8x + -8x = 0
-29 + -8x + -1xy + 3y = 0

The solution to this equation could not be determined.

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