(y*2+6-7)*2*x+7=34*y-1

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Solution for (y*2+6-7)*2*x+7=34*y-1 equation:


Simplifying
(y * 2 + 6 + -7) * 2x + 7 = 34y + -1

Reorder the terms for easier multiplication:
(2y + 6 + -7) * 2x + 7 = 34y + -1

Reorder the terms:
(6 + -7 + 2y) * 2x + 7 = 34y + -1

Combine like terms: 6 + -7 = -1
(-1 + 2y) * 2x + 7 = 34y + -1

Reorder the terms for easier multiplication:
2x(-1 + 2y) + 7 = 34y + -1
(-1 * 2x + 2y * 2x) + 7 = 34y + -1
(-2x + 4xy) + 7 = 34y + -1

Reorder the terms:
7 + -2x + 4xy = 34y + -1

Reorder the terms:
7 + -2x + 4xy = -1 + 34y

Solving
7 + -2x + 4xy = -1 + 34y

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -2x + -7 + 4xy = -1 + -7 + 34y

Reorder the terms:
7 + -7 + -2x + 4xy = -1 + -7 + 34y

Combine like terms: 7 + -7 = 0
0 + -2x + 4xy = -1 + -7 + 34y
-2x + 4xy = -1 + -7 + 34y

Combine like terms: -1 + -7 = -8
-2x + 4xy = -8 + 34y

Reorder the terms:
8 + -2x + 4xy + -34y = -8 + 34y + 8 + -34y

Reorder the terms:
8 + -2x + 4xy + -34y = -8 + 8 + 34y + -34y

Combine like terms: -8 + 8 = 0
8 + -2x + 4xy + -34y = 0 + 34y + -34y
8 + -2x + 4xy + -34y = 34y + -34y

Combine like terms: 34y + -34y = 0
8 + -2x + 4xy + -34y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -1x + 2xy + -17y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + -1x + 2xy + -17y)' equal to zero and attempt to solve: Simplifying 4 + -1x + 2xy + -17y = 0 Solving 4 + -1x + 2xy + -17y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1x + 2xy + -4 + -17y = 0 + -4 Reorder the terms: 4 + -4 + -1x + 2xy + -17y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + 2xy + -17y = 0 + -4 -1x + 2xy + -17y = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + 2xy + -17y = -4 Add '17y' to each side of the equation. -1x + 2xy + -17y + 17y = -4 + 17y Combine like terms: -17y + 17y = 0 -1x + 2xy + 0 = -4 + 17y -1x + 2xy = -4 + 17y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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