28=-3(21-y)+2(y-2)

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Solution for 28=-3(21-y)+2(y-2) equation:


Simplifying
28 = -3(21 + -1y) + 2(y + -2)
28 = (21 * -3 + -1y * -3) + 2(y + -2)
28 = (-63 + 3y) + 2(y + -2)

Reorder the terms:
28 = -63 + 3y + 2(-2 + y)
28 = -63 + 3y + (-2 * 2 + y * 2)
28 = -63 + 3y + (-4 + 2y)

Reorder the terms:
28 = -63 + -4 + 3y + 2y

Combine like terms: -63 + -4 = -67
28 = -67 + 3y + 2y

Combine like terms: 3y + 2y = 5y
28 = -67 + 5y

Solving
28 = -67 + 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.
28 + -5y = -67 + 5y + -5y

Combine like terms: 5y + -5y = 0
28 + -5y = -67 + 0
28 + -5y = -67

Add '-28' to each side of the equation.
28 + -28 + -5y = -67 + -28

Combine like terms: 28 + -28 = 0
0 + -5y = -67 + -28
-5y = -67 + -28

Combine like terms: -67 + -28 = -95
-5y = -95

Divide each side by '-5'.
y = 19

Simplifying
y = 19

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