5y-6+y+24=5y+30-3y

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Solution for 5y-6+y+24=5y+30-3y equation:


Simplifying
5y + -6 + y + 24 = 5y + 30 + -3y

Reorder the terms:
-6 + 24 + 5y + y = 5y + 30 + -3y

Combine like terms: -6 + 24 = 18
18 + 5y + y = 5y + 30 + -3y

Combine like terms: 5y + y = 6y
18 + 6y = 5y + 30 + -3y

Reorder the terms:
18 + 6y = 30 + 5y + -3y

Combine like terms: 5y + -3y = 2y
18 + 6y = 30 + 2y

Solving
18 + 6y = 30 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
18 + 6y + -2y = 30 + 2y + -2y

Combine like terms: 6y + -2y = 4y
18 + 4y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
18 + 4y = 30 + 0
18 + 4y = 30

Add '-18' to each side of the equation.
18 + -18 + 4y = 30 + -18

Combine like terms: 18 + -18 = 0
0 + 4y = 30 + -18
4y = 30 + -18

Combine like terms: 30 + -18 = 12
4y = 12

Divide each side by '4'.
y = 3

Simplifying
y = 3

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