(5y+7)-(5+4y)=11

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Solution for (5y+7)-(5+4y)=11 equation:


Simplifying
(5y + 7) + -1(5 + 4y) = 11

Reorder the terms:
(7 + 5y) + -1(5 + 4y) = 11

Remove parenthesis around (7 + 5y)
7 + 5y + -1(5 + 4y) = 11
7 + 5y + (5 * -1 + 4y * -1) = 11
7 + 5y + (-5 + -4y) = 11

Reorder the terms:
7 + -5 + 5y + -4y = 11

Combine like terms: 7 + -5 = 2
2 + 5y + -4y = 11

Combine like terms: 5y + -4y = 1y
2 + 1y = 11

Solving
2 + 1y = 11

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 = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 11 + -2
1y = 11 + -2

Combine like terms: 11 + -2 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

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