38+4y-7=15y-11-4y

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Solution for 38+4y-7=15y-11-4y equation:


Simplifying
38 + 4y + -7 = 15y + -11 + -4y

Reorder the terms:
38 + -7 + 4y = 15y + -11 + -4y

Combine like terms: 38 + -7 = 31
31 + 4y = 15y + -11 + -4y

Reorder the terms:
31 + 4y = -11 + 15y + -4y

Combine like terms: 15y + -4y = 11y
31 + 4y = -11 + 11y

Solving
31 + 4y = -11 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
31 + 4y + -11y = -11 + 11y + -11y

Combine like terms: 4y + -11y = -7y
31 + -7y = -11 + 11y + -11y

Combine like terms: 11y + -11y = 0
31 + -7y = -11 + 0
31 + -7y = -11

Add '-31' to each side of the equation.
31 + -31 + -7y = -11 + -31

Combine like terms: 31 + -31 = 0
0 + -7y = -11 + -31
-7y = -11 + -31

Combine like terms: -11 + -31 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6

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