(6y+7)-(6+5y)=11

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Solution for (6y+7)-(6+5y)=11 equation:


Simplifying
(6y + 7) + -1(6 + 5y) = 11

Reorder the terms:
(7 + 6y) + -1(6 + 5y) = 11

Remove parenthesis around (7 + 6y)
7 + 6y + -1(6 + 5y) = 11
7 + 6y + (6 * -1 + 5y * -1) = 11
7 + 6y + (-6 + -5y) = 11

Reorder the terms:
7 + -6 + 6y + -5y = 11

Combine like terms: 7 + -6 = 1
1 + 6y + -5y = 11

Combine like terms: 6y + -5y = 1y
1 + 1y = 11

Solving
1 + 1y = 11

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 1y = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 1y = 11 + -1
1y = 11 + -1

Combine like terms: 11 + -1 = 10
1y = 10

Divide each side by '1'.
y = 10

Simplifying
y = 10

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