(5y+7)-(5-4y)=9

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Solution for (5y+7)-(5-4y)=9 equation:


Simplifying
(5y + 7) + -1(5 + -4y) = 9

Reorder the terms:
(7 + 5y) + -1(5 + -4y) = 9

Remove parenthesis around (7 + 5y)
7 + 5y + -1(5 + -4y) = 9
7 + 5y + (5 * -1 + -4y * -1) = 9
7 + 5y + (-5 + 4y) = 9

Reorder the terms:
7 + -5 + 5y + 4y = 9

Combine like terms: 7 + -5 = 2
2 + 5y + 4y = 9

Combine like terms: 5y + 4y = 9y
2 + 9y = 9

Solving
2 + 9y = 9

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 + 9y = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 9y = 9 + -2
9y = 9 + -2

Combine like terms: 9 + -2 = 7
9y = 7

Divide each side by '9'.
y = 0.7777777778

Simplifying
y = 0.7777777778

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