9(y-5)=-6y-15

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Solution for 9(y-5)=-6y-15 equation:


Simplifying
9(y + -5) = -6y + -15

Reorder the terms:
9(-5 + y) = -6y + -15
(-5 * 9 + y * 9) = -6y + -15
(-45 + 9y) = -6y + -15

Reorder the terms:
-45 + 9y = -15 + -6y

Solving
-45 + 9y = -15 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-45 + 9y + 6y = -15 + -6y + 6y

Combine like terms: 9y + 6y = 15y
-45 + 15y = -15 + -6y + 6y

Combine like terms: -6y + 6y = 0
-45 + 15y = -15 + 0
-45 + 15y = -15

Add '45' to each side of the equation.
-45 + 45 + 15y = -15 + 45

Combine like terms: -45 + 45 = 0
0 + 15y = -15 + 45
15y = -15 + 45

Combine like terms: -15 + 45 = 30
15y = 30

Divide each side by '15'.
y = 2

Simplifying
y = 2

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