(7y+8)-(2+6y)=12

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Solution for (7y+8)-(2+6y)=12 equation:


Simplifying
(7y + 8) + -1(2 + 6y) = 12

Reorder the terms:
(8 + 7y) + -1(2 + 6y) = 12

Remove parenthesis around (8 + 7y)
8 + 7y + -1(2 + 6y) = 12
8 + 7y + (2 * -1 + 6y * -1) = 12
8 + 7y + (-2 + -6y) = 12

Reorder the terms:
8 + -2 + 7y + -6y = 12

Combine like terms: 8 + -2 = 6
6 + 7y + -6y = 12

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

Solving
6 + 1y = 12

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 1y = 12 + -6

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

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

Divide each side by '1'.
y = 6

Simplifying
y = 6

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