2(4-y)-(y+2)=28

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Solution for 2(4-y)-(y+2)=28 equation:


Simplifying
2(4 + -1y) + -1(y + 2) = 28
(4 * 2 + -1y * 2) + -1(y + 2) = 28
(8 + -2y) + -1(y + 2) = 28

Reorder the terms:
8 + -2y + -1(2 + y) = 28
8 + -2y + (2 * -1 + y * -1) = 28
8 + -2y + (-2 + -1y) = 28

Reorder the terms:
8 + -2 + -2y + -1y = 28

Combine like terms: 8 + -2 = 6
6 + -2y + -1y = 28

Combine like terms: -2y + -1y = -3y
6 + -3y = 28

Solving
6 + -3y = 28

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -3y = 28 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = 28 + -6
-3y = 28 + -6

Combine like terms: 28 + -6 = 22
-3y = 22

Divide each side by '-3'.
y = -7.333333333

Simplifying
y = -7.333333333

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