(3y+5)+(2y-7)=27

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Solution for (3y+5)+(2y-7)=27 equation: 


Simplifying
(3y + 5) + (2y + -7) = 27

Reorder the terms:
(5 + 3y) + (2y + -7) = 27

Remove parenthesis around (5 + 3y)
5 + 3y + (2y + -7) = 27

Reorder the terms:
5 + 3y + (-7 + 2y) = 27

Remove parenthesis around (-7 + 2y)
5 + 3y + -7 + 2y = 27

Reorder the terms:
5 + -7 + 3y + 2y = 27

Combine like terms: 5 + -7 = -2
-2 + 3y + 2y = 27

Combine like terms: 3y + 2y = 5y
-2 + 5y = 27

Solving
-2 + 5y = 27

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 5y = 27 + 2

Combine like terms: -2 + 2 = 0
0 + 5y = 27 + 2
5y = 27 + 2

Combine like terms: 27 + 2 = 29
5y = 29

Divide each side by '5'.
y = 5.8

Simplifying
y = 5.8

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