3(y-10)+1=4x(y-8)

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Solution for 3(y-10)+1=4x(y-8) equation:


Simplifying
3(y + -10) + 1 = 4x(y + -8)

Reorder the terms:
3(-10 + y) + 1 = 4x(y + -8)
(-10 * 3 + y * 3) + 1 = 4x(y + -8)
(-30 + 3y) + 1 = 4x(y + -8)

Reorder the terms:
-30 + 1 + 3y = 4x(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = 4x(y + -8)

Reorder the terms:
-29 + 3y = 4x(-8 + y)
-29 + 3y = (-8 * 4x + y * 4x)
-29 + 3y = (-32x + 4xy)

Solving
-29 + 3y = -32x + 4xy

Solving for variable 'y'.

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

Add '-4xy' to each side of the equation.
-29 + -4xy + 3y = -32x + 4xy + -4xy

Combine like terms: 4xy + -4xy = 0
-29 + -4xy + 3y = -32x + 0
-29 + -4xy + 3y = -32x

Add '29' to each side of the equation.
-29 + -4xy + 29 + 3y = 29 + -32x

Reorder the terms:
-29 + 29 + -4xy + 3y = 29 + -32x

Combine like terms: -29 + 29 = 0
0 + -4xy + 3y = 29 + -32x
-4xy + 3y = 29 + -32x

Reorder the terms:
-29 + 32x + -4xy + 3y = 29 + -32x + -29 + 32x

Reorder the terms:
-29 + 32x + -4xy + 3y = 29 + -29 + -32x + 32x

Combine like terms: 29 + -29 = 0
-29 + 32x + -4xy + 3y = 0 + -32x + 32x
-29 + 32x + -4xy + 3y = -32x + 32x

Combine like terms: -32x + 32x = 0
-29 + 32x + -4xy + 3y = 0

The solution to this equation could not be determined.

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