(6y+6)-(3+5y)=9

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Solution for (6y+6)-(3+5y)=9 equation:


Simplifying
(6y + 6) + -1(3 + 5y) = 9

Reorder the terms:
(6 + 6y) + -1(3 + 5y) = 9

Remove parenthesis around (6 + 6y)
6 + 6y + -1(3 + 5y) = 9
6 + 6y + (3 * -1 + 5y * -1) = 9
6 + 6y + (-3 + -5y) = 9

Reorder the terms:
6 + -3 + 6y + -5y = 9

Combine like terms: 6 + -3 = 3
3 + 6y + -5y = 9

Combine like terms: 6y + -5y = 1y
3 + 1y = 9

Solving
3 + 1y = 9

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 1y = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 9 + -3
1y = 9 + -3

Combine like terms: 9 + -3 = 6
1y = 6

Divide each side by '1'.
y = 6

Simplifying
y = 6

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