7(7+y)=6(2+y)

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Solution for 7(7+y)=6(2+y) equation:


Simplifying
7(7 + y) = 6(2 + y)
(7 * 7 + y * 7) = 6(2 + y)
(49 + 7y) = 6(2 + y)
49 + 7y = (2 * 6 + y * 6)
49 + 7y = (12 + 6y)

Solving
49 + 7y = 12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
49 + 7y + -6y = 12 + 6y + -6y

Combine like terms: 7y + -6y = 1y
49 + 1y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
49 + 1y = 12 + 0
49 + 1y = 12

Add '-49' to each side of the equation.
49 + -49 + 1y = 12 + -49

Combine like terms: 49 + -49 = 0
0 + 1y = 12 + -49
1y = 12 + -49

Combine like terms: 12 + -49 = -37
1y = -37

Divide each side by '1'.
y = -37

Simplifying
y = -37

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