7y+5(y-7)=1

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


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

Reorder the terms:
7y + 5(-7 + y) = 1
7y + (-7 * 5 + y * 5) = 1
7y + (-35 + 5y) = 1

Reorder the terms:
-35 + 7y + 5y = 1

Combine like terms: 7y + 5y = 12y
-35 + 12y = 1

Solving
-35 + 12y = 1

Solving for variable 'y'.

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

Add '35' to each side of the equation.
-35 + 35 + 12y = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 12y = 1 + 35
12y = 1 + 35

Combine like terms: 1 + 35 = 36
12y = 36

Divide each side by '12'.
y = 3

Simplifying
y = 3

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