(Y+5)+(7y-4)=28

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Solution for (Y+5)+(7y-4)=28 equation:


Simplifying
(Y + 5) + (7y + -4) = 28

Reorder the terms:
(5 + Y) + (7y + -4) = 28

Remove parenthesis around (5 + Y)
5 + Y + (7y + -4) = 28

Reorder the terms:
5 + Y + (-4 + 7y) = 28

Remove parenthesis around (-4 + 7y)
5 + Y + -4 + 7y = 28

Reorder the terms:
5 + -4 + Y + 7y = 28

Combine like terms: 5 + -4 = 1
1 + Y + 7y = 28

Solving
1 + Y + 7y = 28

Solving for variable 'Y'.

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

Add '-1' to each side of the equation.
1 + Y + -1 + 7y = 28 + -1

Reorder the terms:
1 + -1 + Y + 7y = 28 + -1

Combine like terms: 1 + -1 = 0
0 + Y + 7y = 28 + -1
Y + 7y = 28 + -1

Combine like terms: 28 + -1 = 27
Y + 7y = 27

Add '-7y' to each side of the equation.
Y + 7y + -7y = 27 + -7y

Combine like terms: 7y + -7y = 0
Y + 0 = 27 + -7y
Y = 27 + -7y

Simplifying
Y = 27 + -7y

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