6y(3x-7)+8y-3x(2x)=14-9y+2x(y-3x+16y)

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Solution for 6y(3x-7)+8y-3x(2x)=14-9y+2x(y-3x+16y) equation:


Simplifying
6y(3x + -7) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y)

Reorder the terms:
6y(-7 + 3x) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y)
(-7 * 6y + 3x * 6y) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y)

Reorder the terms:
(18xy + -42y) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y)
(18xy + -42y) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y)

Remove parenthesis around (2x)
18xy + -42y + 8y + -3x * 2x = 14 + -9y + 2x(y + -3x + 16y)

Reorder the terms for easier multiplication:
18xy + -42y + 8y + -3 * 2x * x = 14 + -9y + 2x(y + -3x + 16y)

Multiply -3 * 2
18xy + -42y + 8y + -6x * x = 14 + -9y + 2x(y + -3x + 16y)

Multiply x * x
18xy + -42y + 8y + -6x2 = 14 + -9y + 2x(y + -3x + 16y)

Reorder the terms:
18xy + -6x2 + -42y + 8y = 14 + -9y + 2x(y + -3x + 16y)

Combine like terms: -42y + 8y = -34y
18xy + -6x2 + -34y = 14 + -9y + 2x(y + -3x + 16y)

Reorder the terms:
18xy + -6x2 + -34y = 14 + -9y + 2x(-3x + y + 16y)

Combine like terms: y + 16y = 17y
18xy + -6x2 + -34y = 14 + -9y + 2x(-3x + 17y)
18xy + -6x2 + -34y = 14 + -9y + (-3x * 2x + 17y * 2x)

Reorder the terms:
18xy + -6x2 + -34y = 14 + -9y + (34xy + -6x2)
18xy + -6x2 + -34y = 14 + -9y + (34xy + -6x2)

Reorder the terms:
18xy + -6x2 + -34y = 14 + 34xy + -6x2 + -9y

Add '6x2' to each side of the equation.
18xy + -6x2 + 6x2 + -34y = 14 + 34xy + -6x2 + 6x2 + -9y

Combine like terms: -6x2 + 6x2 = 0
18xy + 0 + -34y = 14 + 34xy + -6x2 + 6x2 + -9y
18xy + -34y = 14 + 34xy + -6x2 + 6x2 + -9y

Combine like terms: -6x2 + 6x2 = 0
18xy + -34y = 14 + 34xy + 0 + -9y
18xy + -34y = 14 + 34xy + -9y

Solving
18xy + -34y = 14 + 34xy + -9y

Solving for variable 'x'.

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

Add '-34xy' to each side of the equation.
18xy + -34xy + -34y = 14 + 34xy + -34xy + -9y

Combine like terms: 18xy + -34xy = -16xy
-16xy + -34y = 14 + 34xy + -34xy + -9y

Combine like terms: 34xy + -34xy = 0
-16xy + -34y = 14 + 0 + -9y
-16xy + -34y = 14 + -9y

Add '34y' to each side of the equation.
-16xy + -34y + 34y = 14 + -9y + 34y

Combine like terms: -34y + 34y = 0
-16xy + 0 = 14 + -9y + 34y
-16xy = 14 + -9y + 34y

Combine like terms: -9y + 34y = 25y
-16xy = 14 + 25y

Divide each side by '-16y'.
x = -0.875y-1 + -1.5625

Simplifying
x = -0.875y-1 + -1.5625

Reorder the terms:
x = -1.5625 + -0.875y-1

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