28(y+1)-3(y-1)=5-y

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Solution for 28(y+1)-3(y-1)=5-y equation: 


Simplifying
28(y + 1) + -3(y + -1) = 5 + -1y

Reorder the terms:
28(1 + y) + -3(y + -1) = 5 + -1y
(1 * 28 + y * 28) + -3(y + -1) = 5 + -1y
(28 + 28y) + -3(y + -1) = 5 + -1y

Reorder the terms:
28 + 28y + -3(-1 + y) = 5 + -1y
28 + 28y + (-1 * -3 + y * -3) = 5 + -1y
28 + 28y + (3 + -3y) = 5 + -1y

Reorder the terms:
28 + 3 + 28y + -3y = 5 + -1y

Combine like terms: 28 + 3 = 31
31 + 28y + -3y = 5 + -1y

Combine like terms: 28y + -3y = 25y
31 + 25y = 5 + -1y

Solving
31 + 25y = 5 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
31 + 25y + y = 5 + -1y + y

Combine like terms: 25y + y = 26y
31 + 26y = 5 + -1y + y

Combine like terms: -1y + y = 0
31 + 26y = 5 + 0
31 + 26y = 5

Add '-31' to each side of the equation.
31 + -31 + 26y = 5 + -31

Combine like terms: 31 + -31 = 0
0 + 26y = 5 + -31
26y = 5 + -31

Combine like terms: 5 + -31 = -26
26y = -26

Divide each side by '26'.
y = -1

Simplifying
y = -1

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