(13y-15)-(9+6y)=-3

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Solution for (13y-15)-(9+6y)=-3 equation:


Simplifying
(13y + -15) + -1(9 + 6y) = -3

Reorder the terms:
(-15 + 13y) + -1(9 + 6y) = -3

Remove parenthesis around (-15 + 13y)
-15 + 13y + -1(9 + 6y) = -3
-15 + 13y + (9 * -1 + 6y * -1) = -3
-15 + 13y + (-9 + -6y) = -3

Reorder the terms:
-15 + -9 + 13y + -6y = -3

Combine like terms: -15 + -9 = -24
-24 + 13y + -6y = -3

Combine like terms: 13y + -6y = 7y
-24 + 7y = -3

Solving
-24 + 7y = -3

Solving for variable 'y'.

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

Add '24' to each side of the equation.
-24 + 24 + 7y = -3 + 24

Combine like terms: -24 + 24 = 0
0 + 7y = -3 + 24
7y = -3 + 24

Combine like terms: -3 + 24 = 21
7y = 21

Divide each side by '7'.
y = 3

Simplifying
y = 3

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