7(1+y)=6(7+y)

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Solution for 7(1+y)=6(7+y) equation:


Simplifying
7(1 + y) = 6(7 + y)
(1 * 7 + y * 7) = 6(7 + y)
(7 + 7y) = 6(7 + y)
7 + 7y = (7 * 6 + y * 6)
7 + 7y = (42 + 6y)

Solving
7 + 7y = 42 + 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.
7 + 7y + -6y = 42 + 6y + -6y

Combine like terms: 7y + -6y = 1y
7 + 1y = 42 + 6y + -6y

Combine like terms: 6y + -6y = 0
7 + 1y = 42 + 0
7 + 1y = 42

Add '-7' to each side of the equation.
7 + -7 + 1y = 42 + -7

Combine like terms: 7 + -7 = 0
0 + 1y = 42 + -7
1y = 42 + -7

Combine like terms: 42 + -7 = 35
1y = 35

Divide each side by '1'.
y = 35

Simplifying
y = 35

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