9-(5-7y)=13+4y

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Solution for 9-(5-7y)=13+4y equation:


Simplifying
9 + -1(5 + -7y) = 13 + 4y
9 + (5 * -1 + -7y * -1) = 13 + 4y
9 + (-5 + 7y) = 13 + 4y

Combine like terms: 9 + -5 = 4
4 + 7y = 13 + 4y

Solving
4 + 7y = 13 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
4 + 7y + -4y = 13 + 4y + -4y

Combine like terms: 7y + -4y = 3y
4 + 3y = 13 + 4y + -4y

Combine like terms: 4y + -4y = 0
4 + 3y = 13 + 0
4 + 3y = 13

Add '-4' to each side of the equation.
4 + -4 + 3y = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 13 + -4
3y = 13 + -4

Combine like terms: 13 + -4 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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