7(y-7)=5y-1

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Solution for 7(y-7)=5y-1 equation: 


Simplifying
7(y + -7) = 5y + -1

Reorder the terms:
7(-7 + y) = 5y + -1
(-7 * 7 + y * 7) = 5y + -1
(-49 + 7y) = 5y + -1

Reorder the terms:
-49 + 7y = -1 + 5y

Solving
-49 + 7y = -1 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-49 + 7y + -5y = -1 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-49 + 2y = -1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-49 + 2y = -1 + 0
-49 + 2y = -1

Add '49' to each side of the equation.
-49 + 49 + 2y = -1 + 49

Combine like terms: -49 + 49 = 0
0 + 2y = -1 + 49
2y = -1 + 49

Combine like terms: -1 + 49 = 48
2y = 48

Divide each side by '2'.
y = 24

Simplifying
y = 24

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