6y-21=-9(y-6)

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Solution for 6y-21=-9(y-6) equation:


Simplifying
6y + -21 = -9(y + -6)

Reorder the terms:
-21 + 6y = -9(y + -6)

Reorder the terms:
-21 + 6y = -9(-6 + y)
-21 + 6y = (-6 * -9 + y * -9)
-21 + 6y = (54 + -9y)

Solving
-21 + 6y = 54 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-21 + 6y + 9y = 54 + -9y + 9y

Combine like terms: 6y + 9y = 15y
-21 + 15y = 54 + -9y + 9y

Combine like terms: -9y + 9y = 0
-21 + 15y = 54 + 0
-21 + 15y = 54

Add '21' to each side of the equation.
-21 + 21 + 15y = 54 + 21

Combine like terms: -21 + 21 = 0
0 + 15y = 54 + 21
15y = 54 + 21

Combine like terms: 54 + 21 = 75
15y = 75

Divide each side by '15'.
y = 5

Simplifying
y = 5

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