(2y-7)=-x+4

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Solution for (2y-7)=-x+4 equation:


Simplifying
(2y + -7) = -1x + 4

Reorder the terms:
(-7 + 2y) = -1x + 4

Remove parenthesis around (-7 + 2y)
-7 + 2y = -1x + 4

Reorder the terms:
-7 + 2y = 4 + -1x

Solving
-7 + 2y = 4 + -1x

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 2y = 4 + 7 + -1x

Combine like terms: -7 + 7 = 0
0 + 2y = 4 + 7 + -1x
2y = 4 + 7 + -1x

Combine like terms: 4 + 7 = 11
2y = 11 + -1x

Divide each side by '2'.
y = 5.5 + -0.5x

Simplifying
y = 5.5 + -0.5x

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