38+4y-16=15y-10-3y

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Solution for 38+4y-16=15y-10-3y equation:


Simplifying
38 + 4y + -16 = 15y + -10 + -3y

Reorder the terms:
38 + -16 + 4y = 15y + -10 + -3y

Combine like terms: 38 + -16 = 22
22 + 4y = 15y + -10 + -3y

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

Combine like terms: 15y + -3y = 12y
22 + 4y = -10 + 12y

Solving
22 + 4y = -10 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
22 + 4y + -12y = -10 + 12y + -12y

Combine like terms: 4y + -12y = -8y
22 + -8y = -10 + 12y + -12y

Combine like terms: 12y + -12y = 0
22 + -8y = -10 + 0
22 + -8y = -10

Add '-22' to each side of the equation.
22 + -22 + -8y = -10 + -22

Combine like terms: 22 + -22 = 0
0 + -8y = -10 + -22
-8y = -10 + -22

Combine like terms: -10 + -22 = -32
-8y = -32

Divide each side by '-8'.
y = 4

Simplifying
y = 4

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