2(y+9)=3y+38

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Solution for 2(y+9)=3y+38 equation: 


Simplifying
2(y + 9) = 3y + 38

Reorder the terms:
2(9 + y) = 3y + 38
(9 * 2 + y * 2) = 3y + 38
(18 + 2y) = 3y + 38

Reorder the terms:
18 + 2y = 38 + 3y

Solving
18 + 2y = 38 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
18 + 2y + -3y = 38 + 3y + -3y

Combine like terms: 2y + -3y = -1y
18 + -1y = 38 + 3y + -3y

Combine like terms: 3y + -3y = 0
18 + -1y = 38 + 0
18 + -1y = 38

Add '-18' to each side of the equation.
18 + -18 + -1y = 38 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = 38 + -18
-1y = 38 + -18

Combine like terms: 38 + -18 = 20
-1y = 20

Divide each side by '-1'.
y = -20

Simplifying
y = -20

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