9(y-3)=-5y-13

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Solution for 9(y-3)=-5y-13 equation:


Simplifying
9(y + -3) = -5y + -13

Reorder the terms:
9(-3 + y) = -5y + -13
(-3 * 9 + y * 9) = -5y + -13
(-27 + 9y) = -5y + -13

Reorder the terms:
-27 + 9y = -13 + -5y

Solving
-27 + 9y = -13 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-27 + 9y + 5y = -13 + -5y + 5y

Combine like terms: 9y + 5y = 14y
-27 + 14y = -13 + -5y + 5y

Combine like terms: -5y + 5y = 0
-27 + 14y = -13 + 0
-27 + 14y = -13

Add '27' to each side of the equation.
-27 + 27 + 14y = -13 + 27

Combine like terms: -27 + 27 = 0
0 + 14y = -13 + 27
14y = -13 + 27

Combine like terms: -13 + 27 = 14
14y = 14

Divide each side by '14'.
y = 1

Simplifying
y = 1

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