(3y+24)+(5y-3)=360

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Solution for (3y+24)+(5y-3)=360 equation:


Simplifying
(3y + 24) + (5y + -3) = 360

Reorder the terms:
(24 + 3y) + (5y + -3) = 360

Remove parenthesis around (24 + 3y)
24 + 3y + (5y + -3) = 360

Reorder the terms:
24 + 3y + (-3 + 5y) = 360

Remove parenthesis around (-3 + 5y)
24 + 3y + -3 + 5y = 360

Reorder the terms:
24 + -3 + 3y + 5y = 360

Combine like terms: 24 + -3 = 21
21 + 3y + 5y = 360

Combine like terms: 3y + 5y = 8y
21 + 8y = 360

Solving
21 + 8y = 360

Solving for variable 'y'.

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

Add '-21' to each side of the equation.
21 + -21 + 8y = 360 + -21

Combine like terms: 21 + -21 = 0
0 + 8y = 360 + -21
8y = 360 + -21

Combine like terms: 360 + -21 = 339
8y = 339

Divide each side by '8'.
y = 42.375

Simplifying
y = 42.375

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