27=-3(21-y)+3(y-2)

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Solution for 27=-3(21-y)+3(y-2) equation:


Simplifying
27 = -3(21 + -1y) + 3(y + -2)
27 = (21 * -3 + -1y * -3) + 3(y + -2)
27 = (-63 + 3y) + 3(y + -2)

Reorder the terms:
27 = -63 + 3y + 3(-2 + y)
27 = -63 + 3y + (-2 * 3 + y * 3)
27 = -63 + 3y + (-6 + 3y)

Reorder the terms:
27 = -63 + -6 + 3y + 3y

Combine like terms: -63 + -6 = -69
27 = -69 + 3y + 3y

Combine like terms: 3y + 3y = 6y
27 = -69 + 6y

Solving
27 = -69 + 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.
27 + -6y = -69 + 6y + -6y

Combine like terms: 6y + -6y = 0
27 + -6y = -69 + 0
27 + -6y = -69

Add '-27' to each side of the equation.
27 + -27 + -6y = -69 + -27

Combine like terms: 27 + -27 = 0
0 + -6y = -69 + -27
-6y = -69 + -27

Combine like terms: -69 + -27 = -96
-6y = -96

Divide each side by '-6'.
y = 16

Simplifying
y = 16

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