22+3y-4=15y-10-5y

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Solution for 22+3y-4=15y-10-5y equation:


Simplifying
22 + 3y + -4 = 15y + -10 + -5y

Reorder the terms:
22 + -4 + 3y = 15y + -10 + -5y

Combine like terms: 22 + -4 = 18
18 + 3y = 15y + -10 + -5y

Reorder the terms:
18 + 3y = -10 + 15y + -5y

Combine like terms: 15y + -5y = 10y
18 + 3y = -10 + 10y

Solving
18 + 3y = -10 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
18 + 3y + -10y = -10 + 10y + -10y

Combine like terms: 3y + -10y = -7y
18 + -7y = -10 + 10y + -10y

Combine like terms: 10y + -10y = 0
18 + -7y = -10 + 0
18 + -7y = -10

Add '-18' to each side of the equation.
18 + -18 + -7y = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -7y = -10 + -18
-7y = -10 + -18

Combine like terms: -10 + -18 = -28
-7y = -28

Divide each side by '-7'.
y = 4

Simplifying
y = 4

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