(12y-38)+(9y+13)=180

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Solution for (12y-38)+(9y+13)=180 equation:


Simplifying
(12y + -38) + (9y + 13) = 180

Reorder the terms:
(-38 + 12y) + (9y + 13) = 180

Remove parenthesis around (-38 + 12y)
-38 + 12y + (9y + 13) = 180

Reorder the terms:
-38 + 12y + (13 + 9y) = 180

Remove parenthesis around (13 + 9y)
-38 + 12y + 13 + 9y = 180

Reorder the terms:
-38 + 13 + 12y + 9y = 180

Combine like terms: -38 + 13 = -25
-25 + 12y + 9y = 180

Combine like terms: 12y + 9y = 21y
-25 + 21y = 180

Solving
-25 + 21y = 180

Solving for variable 'y'.

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

Add '25' to each side of the equation.
-25 + 25 + 21y = 180 + 25

Combine like terms: -25 + 25 = 0
0 + 21y = 180 + 25
21y = 180 + 25

Combine like terms: 180 + 25 = 205
21y = 205

Divide each side by '21'.
y = 9.761904762

Simplifying
y = 9.761904762

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