4y-10+y+32=7+7y+23-4y

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Solution for 4y-10+y+32=7+7y+23-4y equation: 


Simplifying
4y + -10 + y + 32 = 7 + 7y + 23 + -4y

Reorder the terms:
-10 + 32 + 4y + y = 7 + 7y + 23 + -4y

Combine like terms: -10 + 32 = 22
22 + 4y + y = 7 + 7y + 23 + -4y

Combine like terms: 4y + y = 5y
22 + 5y = 7 + 7y + 23 + -4y

Reorder the terms:
22 + 5y = 7 + 23 + 7y + -4y

Combine like terms: 7 + 23 = 30
22 + 5y = 30 + 7y + -4y

Combine like terms: 7y + -4y = 3y
22 + 5y = 30 + 3y

Solving
22 + 5y = 30 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
22 + 5y + -3y = 30 + 3y + -3y

Combine like terms: 5y + -3y = 2y
22 + 2y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 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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