7(y+6)+7y=9

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Solution for 7(y+6)+7y=9 equation:


Simplifying
7(y + 6) + 7y = 9

Reorder the terms:
7(6 + y) + 7y = 9
(6 * 7 + y * 7) + 7y = 9
(42 + 7y) + 7y = 9

Combine like terms: 7y + 7y = 14y
42 + 14y = 9

Solving
42 + 14y = 9

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + 14y = 9 + -42

Combine like terms: 42 + -42 = 0
0 + 14y = 9 + -42
14y = 9 + -42

Combine like terms: 9 + -42 = -33
14y = -33

Divide each side by '14'.
y = -2.357142857

Simplifying
y = -2.357142857

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