4y-10+y+40=8y+30-6y

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Solution for 4y-10+y+40=8y+30-6y equation:


Simplifying
4y + -10 + y + 40 = 8y + 30 + -6y

Reorder the terms:
-10 + 40 + 4y + y = 8y + 30 + -6y

Combine like terms: -10 + 40 = 30
30 + 4y + y = 8y + 30 + -6y

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

Reorder the terms:
30 + 5y = 30 + 8y + -6y

Combine like terms: 8y + -6y = 2y
30 + 5y = 30 + 2y

Add '-30' to each side of the equation.
30 + -30 + 5y = 30 + -30 + 2y

Combine like terms: 30 + -30 = 0
0 + 5y = 30 + -30 + 2y
5y = 30 + -30 + 2y

Combine like terms: 30 + -30 = 0
5y = 0 + 2y
5y = 2y

Solving
5y = 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.
5y + -2y = 2y + -2y

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

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

Divide each side by '3'.
y = 0

Simplifying
y = 0

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