34+5y-4=15y-10-2y

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Solution for 34+5y-4=15y-10-2y equation:


Simplifying
34 + 5y + -4 = 15y + -10 + -2y

Reorder the terms:
34 + -4 + 5y = 15y + -10 + -2y

Combine like terms: 34 + -4 = 30
30 + 5y = 15y + -10 + -2y

Reorder the terms:
30 + 5y = -10 + 15y + -2y

Combine like terms: 15y + -2y = 13y
30 + 5y = -10 + 13y

Solving
30 + 5y = -10 + 13y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-13y' to each side of the equation.
30 + 5y + -13y = -10 + 13y + -13y

Combine like terms: 5y + -13y = -8y
30 + -8y = -10 + 13y + -13y

Combine like terms: 13y + -13y = 0
30 + -8y = -10 + 0
30 + -8y = -10

Add '-30' to each side of the equation.
30 + -30 + -8y = -10 + -30

Combine like terms: 30 + -30 = 0
0 + -8y = -10 + -30
-8y = -10 + -30

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

Divide each side by '-8'.
y = 5

Simplifying
y = 5

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