4y-9+y+37=7y+30-4y

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Solution for 4y-9+y+37=7y+30-4y equation:


Simplifying
4y + -9 + y + 37 = 7y + 30 + -4y

Reorder the terms:
-9 + 37 + 4y + y = 7y + 30 + -4y

Combine like terms: -9 + 37 = 28
28 + 4y + y = 7y + 30 + -4y

Combine like terms: 4y + y = 5y
28 + 5y = 7y + 30 + -4y

Reorder the terms:
28 + 5y = 30 + 7y + -4y

Combine like terms: 7y + -4y = 3y
28 + 5y = 30 + 3y

Solving
28 + 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.
28 + 5y + -3y = 30 + 3y + -3y

Combine like terms: 5y + -3y = 2y
28 + 2y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 0
28 + 2y = 30 + 0
28 + 2y = 30

Add '-28' to each side of the equation.
28 + -28 + 2y = 30 + -28

Combine like terms: 28 + -28 = 0
0 + 2y = 30 + -28
2y = 30 + -28

Combine like terms: 30 + -28 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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