31=5(y+8)-8y

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Solution for 31=5(y+8)-8y equation:


Simplifying
31 = 5(y + 8) + -8y

Reorder the terms:
31 = 5(8 + y) + -8y
31 = (8 * 5 + y * 5) + -8y
31 = (40 + 5y) + -8y

Combine like terms: 5y + -8y = -3y
31 = 40 + -3y

Solving
31 = 40 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
31 + 3y = 40 + -3y + 3y

Combine like terms: -3y + 3y = 0
31 + 3y = 40 + 0
31 + 3y = 40

Add '-31' to each side of the equation.
31 + -31 + 3y = 40 + -31

Combine like terms: 31 + -31 = 0
0 + 3y = 40 + -31
3y = 40 + -31

Combine like terms: 40 + -31 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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