(2y-1)-(4y-3)=x

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Solution for (2y-1)-(4y-3)=x equation:


Simplifying
(2y + -1) + -1(4y + -3) = x

Reorder the terms:
(-1 + 2y) + -1(4y + -3) = x

Remove parenthesis around (-1 + 2y)
-1 + 2y + -1(4y + -3) = x

Reorder the terms:
-1 + 2y + -1(-3 + 4y) = x
-1 + 2y + (-3 * -1 + 4y * -1) = x
-1 + 2y + (3 + -4y) = x

Reorder the terms:
-1 + 3 + 2y + -4y = x

Combine like terms: -1 + 3 = 2
2 + 2y + -4y = x

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

Solving
2 + -2y = x

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 = -2 + x

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

Divide each side by '-2'.
y = 1 + -0.5x

Simplifying
y = 1 + -0.5x

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