(7y+7)-(2+6y)=10

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Solution for (7y+7)-(2+6y)=10 equation:


Simplifying
(7y + 7) + -1(2 + 6y) = 10

Reorder the terms:
(7 + 7y) + -1(2 + 6y) = 10

Remove parenthesis around (7 + 7y)
7 + 7y + -1(2 + 6y) = 10
7 + 7y + (2 * -1 + 6y * -1) = 10
7 + 7y + (-2 + -6y) = 10

Reorder the terms:
7 + -2 + 7y + -6y = 10

Combine like terms: 7 + -2 = 5
5 + 7y + -6y = 10

Combine like terms: 7y + -6y = 1y
5 + 1y = 10

Solving
5 + 1y = 10

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 1y = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 1y = 10 + -5
1y = 10 + -5

Combine like terms: 10 + -5 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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