-9(y-4)=-4y+31

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Solution for -9(y-4)=-4y+31 equation: 


Simplifying
-9(y + -4) = -4y + 31

Reorder the terms:
-9(-4 + y) = -4y + 31
(-4 * -9 + y * -9) = -4y + 31
(36 + -9y) = -4y + 31

Reorder the terms:
36 + -9y = 31 + -4y

Solving
36 + -9y = 31 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
36 + -9y + 4y = 31 + -4y + 4y

Combine like terms: -9y + 4y = -5y
36 + -5y = 31 + -4y + 4y

Combine like terms: -4y + 4y = 0
36 + -5y = 31 + 0
36 + -5y = 31

Add '-36' to each side of the equation.
36 + -36 + -5y = 31 + -36

Combine like terms: 36 + -36 = 0
0 + -5y = 31 + -36
-5y = 31 + -36

Combine like terms: 31 + -36 = -5
-5y = -5

Divide each side by '-5'.
y = 1

Simplifying
y = 1

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