78(y-77)=y-49

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Solution for 78(y-77)=y-49 equation:


Simplifying
78(y + -77) = y + -49

Reorder the terms:
78(-77 + y) = y + -49
(-77 * 78 + y * 78) = y + -49
(-6006 + 78y) = y + -49

Reorder the terms:
-6006 + 78y = -49 + y

Solving
-6006 + 78y = -49 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6006 + 78y + -1y = -49 + y + -1y

Combine like terms: 78y + -1y = 77y
-6006 + 77y = -49 + y + -1y

Combine like terms: y + -1y = 0
-6006 + 77y = -49 + 0
-6006 + 77y = -49

Add '6006' to each side of the equation.
-6006 + 6006 + 77y = -49 + 6006

Combine like terms: -6006 + 6006 = 0
0 + 77y = -49 + 6006
77y = -49 + 6006

Combine like terms: -49 + 6006 = 5957
77y = 5957

Divide each side by '77'.
y = 77.36363636

Simplifying
y = 77.36363636

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