(y-9)-(3y-7)=(x-9)+(7x+6)

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Solution for (y-9)-(3y-7)=(x-9)+(7x+6) equation:


Simplifying
(y + -9) + -1(3y + -7) = (x + -9) + (7x + 6)

Reorder the terms:
(-9 + y) + -1(3y + -7) = (x + -9) + (7x + 6)

Remove parenthesis around (-9 + y)
-9 + y + -1(3y + -7) = (x + -9) + (7x + 6)

Reorder the terms:
-9 + y + -1(-7 + 3y) = (x + -9) + (7x + 6)
-9 + y + (-7 * -1 + 3y * -1) = (x + -9) + (7x + 6)
-9 + y + (7 + -3y) = (x + -9) + (7x + 6)

Reorder the terms:
-9 + 7 + y + -3y = (x + -9) + (7x + 6)

Combine like terms: -9 + 7 = -2
-2 + y + -3y = (x + -9) + (7x + 6)

Combine like terms: y + -3y = -2y
-2 + -2y = (x + -9) + (7x + 6)

Reorder the terms:
-2 + -2y = (-9 + x) + (7x + 6)

Remove parenthesis around (-9 + x)
-2 + -2y = -9 + x + (7x + 6)

Reorder the terms:
-2 + -2y = -9 + x + (6 + 7x)

Remove parenthesis around (6 + 7x)
-2 + -2y = -9 + x + 6 + 7x

Reorder the terms:
-2 + -2y = -9 + 6 + x + 7x

Combine like terms: -9 + 6 = -3
-2 + -2y = -3 + x + 7x

Combine like terms: x + 7x = 8x
-2 + -2y = -3 + 8x

Solving
-2 + -2y = -3 + 8x

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + -2y = -3 + 2 + 8x

Combine like terms: -2 + 2 = 0
0 + -2y = -3 + 2 + 8x
-2y = -3 + 2 + 8x

Combine like terms: -3 + 2 = -1
-2y = -1 + 8x

Divide each side by '-2'.
y = 0.5 + -4x

Simplifying
y = 0.5 + -4x

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