3y-6+y+32=7y+30-5y

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Solution for 3y-6+y+32=7y+30-5y equation: 


Simplifying
3y + -6 + y + 32 = 7y + 30 + -5y

Reorder the terms:
-6 + 32 + 3y + y = 7y + 30 + -5y

Combine like terms: -6 + 32 = 26
26 + 3y + y = 7y + 30 + -5y

Combine like terms: 3y + y = 4y
26 + 4y = 7y + 30 + -5y

Reorder the terms:
26 + 4y = 30 + 7y + -5y

Combine like terms: 7y + -5y = 2y
26 + 4y = 30 + 2y

Solving
26 + 4y = 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 + 4y + -2y = 30 + 2y + -2y

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

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

Add '-26' to each side of the equation.
26 + -26 + 2y = 30 + -26

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

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

Divide each side by '2'.
y = 2

Simplifying
y = 2

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