(7y+7)-(5+6y)=12

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Solution for (7y+7)-(5+6y)=12 equation:


Simplifying
(7y + 7) + -1(5 + 6y) = 12

Reorder the terms:
(7 + 7y) + -1(5 + 6y) = 12

Remove parenthesis around (7 + 7y)
7 + 7y + -1(5 + 6y) = 12
7 + 7y + (5 * -1 + 6y * -1) = 12
7 + 7y + (-5 + -6y) = 12

Reorder the terms:
7 + -5 + 7y + -6y = 12

Combine like terms: 7 + -5 = 2
2 + 7y + -6y = 12

Combine like terms: 7y + -6y = 1y
2 + 1y = 12

Solving
2 + 1y = 12

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 12 + -2
1y = 12 + -2

Combine like terms: 12 + -2 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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