2(y+9)=5y+39

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Solution for 2(y+9)=5y+39 equation: 


Simplifying
2(y + 9) = 5y + 39

Reorder the terms:
2(9 + y) = 5y + 39
(9 * 2 + y * 2) = 5y + 39
(18 + 2y) = 5y + 39

Reorder the terms:
18 + 2y = 39 + 5y

Solving
18 + 2y = 39 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
18 + 2y + -5y = 39 + 5y + -5y

Combine like terms: 2y + -5y = -3y
18 + -3y = 39 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -3y = 39 + 0
18 + -3y = 39

Add '-18' to each side of the equation.
18 + -18 + -3y = 39 + -18

Combine like terms: 18 + -18 = 0
0 + -3y = 39 + -18
-3y = 39 + -18

Combine like terms: 39 + -18 = 21
-3y = 21

Divide each side by '-3'.
y = -7

Simplifying
y = -7

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