-9y+27=5(y-3)

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Solution for -9y+27=5(y-3) equation:


Simplifying
-9y + 27 = 5(y + -3)

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

Reorder the terms:
27 + -9y = 5(-3 + y)
27 + -9y = (-3 * 5 + y * 5)
27 + -9y = (-15 + 5y)

Solving
27 + -9y = -15 + 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 = -15 + 5y + -5y

Combine like terms: -9y + -5y = -14y
27 + -14y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
27 + -14y = -15 + 0
27 + -14y = -15

Add '-27' to each side of the equation.
27 + -27 + -14y = -15 + -27

Combine like terms: 27 + -27 = 0
0 + -14y = -15 + -27
-14y = -15 + -27

Combine like terms: -15 + -27 = -42
-14y = -42

Divide each side by '-14'.
y = 3

Simplifying
y = 3

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