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

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


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

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

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

Solving
-2 + 2y = 2 + -1x

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 + 2 + -1x

Combine like terms: -2 + 2 = 0
0 + 2y = 2 + 2 + -1x
2y = 2 + 2 + -1x

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

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

Simplifying
y = 2 + -0.5x

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