9y-15=-2(y-6)

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Solution for 9y-15=-2(y-6) equation:


Simplifying
9y + -15 = -2(y + -6)

Reorder the terms:
-15 + 9y = -2(y + -6)

Reorder the terms:
-15 + 9y = -2(-6 + y)
-15 + 9y = (-6 * -2 + y * -2)
-15 + 9y = (12 + -2y)

Solving
-15 + 9y = 12 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-15 + 9y + 2y = 12 + -2y + 2y

Combine like terms: 9y + 2y = 11y
-15 + 11y = 12 + -2y + 2y

Combine like terms: -2y + 2y = 0
-15 + 11y = 12 + 0
-15 + 11y = 12

Add '15' to each side of the equation.
-15 + 15 + 11y = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 11y = 12 + 15
11y = 12 + 15

Combine like terms: 12 + 15 = 27
11y = 27

Divide each side by '11'.
y = 2.454545455

Simplifying
y = 2.454545455

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