5y-7+y+33=5y+30-3y

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Solution for 5y-7+y+33=5y+30-3y equation: 


Simplifying
5y + -7 + y + 33 = 5y + 30 + -3y

Reorder the terms:
-7 + 33 + 5y + y = 5y + 30 + -3y

Combine like terms: -7 + 33 = 26
26 + 5y + y = 5y + 30 + -3y

Combine like terms: 5y + y = 6y
26 + 6y = 5y + 30 + -3y

Reorder the terms:
26 + 6y = 30 + 5y + -3y

Combine like terms: 5y + -3y = 2y
26 + 6y = 30 + 2y

Solving
26 + 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.
26 + 6y + -2y = 30 + 2y + -2y

Combine like terms: 6y + -2y = 4y
26 + 4y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
26 + 4y = 30 + 0
26 + 4y = 30

Add '-26' to each side of the equation.
26 + -26 + 4y = 30 + -26

Combine like terms: 26 + -26 = 0
0 + 4y = 30 + -26
4y = 30 + -26

Combine like terms: 30 + -26 = 4
4y = 4

Divide each side by '4'.
y = 1

Simplifying
y = 1

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