-9(y-4)=-7y+20

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Solution for -9(y-4)=-7y+20 equation: 


Simplifying
-9(y + -4) = -7y + 20

Reorder the terms:
-9(-4 + y) = -7y + 20
(-4 * -9 + y * -9) = -7y + 20
(36 + -9y) = -7y + 20

Reorder the terms:
36 + -9y = 20 + -7y

Solving
36 + -9y = 20 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
36 + -9y + 7y = 20 + -7y + 7y

Combine like terms: -9y + 7y = -2y
36 + -2y = 20 + -7y + 7y

Combine like terms: -7y + 7y = 0
36 + -2y = 20 + 0
36 + -2y = 20

Add '-36' to each side of the equation.
36 + -36 + -2y = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -2y = 20 + -36
-2y = 20 + -36

Combine like terms: 20 + -36 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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