4y-5=7-4x

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Solution for 4y-5=7-4x equation: 


Simplifying
4y + -5 = 7 + -4x

Reorder the terms:
-5 + 4y = 7 + -4x

Solving
-5 + 4y = 7 + -4x

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 4y = 7 + 5 + -4x

Combine like terms: -5 + 5 = 0
0 + 4y = 7 + 5 + -4x
4y = 7 + 5 + -4x

Combine like terms: 7 + 5 = 12
4y = 12 + -4x

Divide each side by '4'.
y = 3 + -1x

Simplifying
y = 3 + -1x

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