31=7+9(y-2)

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Solution for 31=7+9(y-2) equation:


Simplifying
31 = 7 + 9(y + -2)

Reorder the terms:
31 = 7 + 9(-2 + y)
31 = 7 + (-2 * 9 + y * 9)
31 = 7 + (-18 + 9y)

Combine like terms: 7 + -18 = -11
31 = -11 + 9y

Solving
31 = -11 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
31 + -9y = -11 + 9y + -9y

Combine like terms: 9y + -9y = 0
31 + -9y = -11 + 0
31 + -9y = -11

Add '-31' to each side of the equation.
31 + -31 + -9y = -11 + -31

Combine like terms: 31 + -31 = 0
0 + -9y = -11 + -31
-9y = -11 + -31

Combine like terms: -11 + -31 = -42
-9y = -42

Divide each side by '-9'.
y = 4.666666667

Simplifying
y = 4.666666667

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