2(y-8)=-9y+28

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Solution for 2(y-8)=-9y+28 equation:


Simplifying
2(y + -8) = -9y + 28

Reorder the terms:
2(-8 + y) = -9y + 28
(-8 * 2 + y * 2) = -9y + 28
(-16 + 2y) = -9y + 28

Reorder the terms:
-16 + 2y = 28 + -9y

Solving
-16 + 2y = 28 + -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.
-16 + 2y + 9y = 28 + -9y + 9y

Combine like terms: 2y + 9y = 11y
-16 + 11y = 28 + -9y + 9y

Combine like terms: -9y + 9y = 0
-16 + 11y = 28 + 0
-16 + 11y = 28

Add '16' to each side of the equation.
-16 + 16 + 11y = 28 + 16

Combine like terms: -16 + 16 = 0
0 + 11y = 28 + 16
11y = 28 + 16

Combine like terms: 28 + 16 = 44
11y = 44

Divide each side by '11'.
y = 4

Simplifying
y = 4

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