(3y-58)+(2y+33)=180

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Solution for (3y-58)+(2y+33)=180 equation:


Simplifying
(3y + -58) + (2y + 33) = 180

Reorder the terms:
(-58 + 3y) + (2y + 33) = 180

Remove parenthesis around (-58 + 3y)
-58 + 3y + (2y + 33) = 180

Reorder the terms:
-58 + 3y + (33 + 2y) = 180

Remove parenthesis around (33 + 2y)
-58 + 3y + 33 + 2y = 180

Reorder the terms:
-58 + 33 + 3y + 2y = 180

Combine like terms: -58 + 33 = -25
-25 + 3y + 2y = 180

Combine like terms: 3y + 2y = 5y
-25 + 5y = 180

Solving
-25 + 5y = 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 + 5y = 180 + 25

Combine like terms: -25 + 25 = 0
0 + 5y = 180 + 25
5y = 180 + 25

Combine like terms: 180 + 25 = 205
5y = 205

Divide each side by '5'.
y = 41

Simplifying
y = 41

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