9(y-7)=5y-31

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Solution for 9(y-7)=5y-31 equation: 


Simplifying
9(y + -7) = 5y + -31

Reorder the terms:
9(-7 + y) = 5y + -31
(-7 * 9 + y * 9) = 5y + -31
(-63 + 9y) = 5y + -31

Reorder the terms:
-63 + 9y = -31 + 5y

Solving
-63 + 9y = -31 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-63 + 9y + -5y = -31 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-63 + 4y = -31 + 5y + -5y

Combine like terms: 5y + -5y = 0
-63 + 4y = -31 + 0
-63 + 4y = -31

Add '63' to each side of the equation.
-63 + 63 + 4y = -31 + 63

Combine like terms: -63 + 63 = 0
0 + 4y = -31 + 63
4y = -31 + 63

Combine like terms: -31 + 63 = 32
4y = 32

Divide each side by '4'.
y = 8

Simplifying
y = 8

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