5y-10+y+32=6+5y+24-1y

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Solution for 5y-10+y+32=6+5y+24-1y equation:


Simplifying
5y + -10 + y + 32 = 6 + 5y + 24 + -1y

Reorder the terms:
-10 + 32 + 5y + y = 6 + 5y + 24 + -1y

Combine like terms: -10 + 32 = 22
22 + 5y + y = 6 + 5y + 24 + -1y

Combine like terms: 5y + y = 6y
22 + 6y = 6 + 5y + 24 + -1y

Reorder the terms:
22 + 6y = 6 + 24 + 5y + -1y

Combine like terms: 6 + 24 = 30
22 + 6y = 30 + 5y + -1y

Combine like terms: 5y + -1y = 4y
22 + 6y = 30 + 4y

Solving
22 + 6y = 30 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
22 + 6y + -4y = 30 + 4y + -4y

Combine like terms: 6y + -4y = 2y
22 + 2y = 30 + 4y + -4y

Combine like terms: 4y + -4y = 0
22 + 2y = 30 + 0
22 + 2y = 30

Add '-22' to each side of the equation.
22 + -22 + 2y = 30 + -22

Combine like terms: 22 + -22 = 0
0 + 2y = 30 + -22
2y = 30 + -22

Combine like terms: 30 + -22 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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