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

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


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

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

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

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

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

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

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

Combine like terms: 7y + y = 8y
1 + 8y = 28

Solving
1 + 8y = 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 + -1 + 8y = 28 + -1

Combine like terms: 1 + -1 = 0
0 + 8y = 28 + -1
8y = 28 + -1

Combine like terms: 28 + -1 = 27
8y = 27

Divide each side by '8'.
y = 3.375

Simplifying
y = 3.375

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