(2y-9)+5=2(x-1)-4

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Solution for (2y-9)+5=2(x-1)-4 equation:


Simplifying
(2y + -9) + 5 = 2(x + -1) + -4

Reorder the terms:
(-9 + 2y) + 5 = 2(x + -1) + -4

Remove parenthesis around (-9 + 2y)
-9 + 2y + 5 = 2(x + -1) + -4

Reorder the terms:
-9 + 5 + 2y = 2(x + -1) + -4

Combine like terms: -9 + 5 = -4
-4 + 2y = 2(x + -1) + -4

Reorder the terms:
-4 + 2y = 2(-1 + x) + -4
-4 + 2y = (-1 * 2 + x * 2) + -4
-4 + 2y = (-2 + 2x) + -4

Reorder the terms:
-4 + 2y = -2 + -4 + 2x

Combine like terms: -2 + -4 = -6
-4 + 2y = -6 + 2x

Solving
-4 + 2y = -6 + 2x

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 2y = -6 + 4 + 2x

Combine like terms: -4 + 4 = 0
0 + 2y = -6 + 4 + 2x
2y = -6 + 4 + 2x

Combine like terms: -6 + 4 = -2
2y = -2 + 2x

Divide each side by '2'.
y = -1 + x

Simplifying
y = -1 + x

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