5y-10+y+40=8y+30-4y

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Solution for 5y-10+y+40=8y+30-4y equation:


Simplifying
5y + -10 + y + 40 = 8y + 30 + -4y

Reorder the terms:
-10 + 40 + 5y + y = 8y + 30 + -4y

Combine like terms: -10 + 40 = 30
30 + 5y + y = 8y + 30 + -4y

Combine like terms: 5y + y = 6y
30 + 6y = 8y + 30 + -4y

Reorder the terms:
30 + 6y = 30 + 8y + -4y

Combine like terms: 8y + -4y = 4y
30 + 6y = 30 + 4y

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

Combine like terms: 30 + -30 = 0
0 + 6y = 30 + -30 + 4y
6y = 30 + -30 + 4y

Combine like terms: 30 + -30 = 0
6y = 0 + 4y
6y = 4y

Solving
6y = 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.
6y + -4y = 4y + -4y

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

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

Divide each side by '2'.
y = 0

Simplifying
y = 0

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