9=-3(21-y)+2(y-4)

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Solution for 9=-3(21-y)+2(y-4) equation: 


Simplifying
9 = -3(21 + -1y) + 2(y + -4)
9 = (21 * -3 + -1y * -3) + 2(y + -4)
9 = (-63 + 3y) + 2(y + -4)

Reorder the terms:
9 = -63 + 3y + 2(-4 + y)
9 = -63 + 3y + (-4 * 2 + y * 2)
9 = -63 + 3y + (-8 + 2y)

Reorder the terms:
9 = -63 + -8 + 3y + 2y

Combine like terms: -63 + -8 = -71
9 = -71 + 3y + 2y

Combine like terms: 3y + 2y = 5y
9 = -71 + 5y

Solving
9 = -71 + 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.
9 + -5y = -71 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -5y = -71 + 0
9 + -5y = -71

Add '-9' to each side of the equation.
9 + -9 + -5y = -71 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = -71 + -9
-5y = -71 + -9

Combine like terms: -71 + -9 = -80
-5y = -80

Divide each side by '-5'.
y = 16

Simplifying
y = 16

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