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

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


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

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

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

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

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

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

Solving
2 + 1y = 5

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 = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 5 + -2
1y = 5 + -2

Combine like terms: 5 + -2 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3

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