-9(y-6)=-7y+38

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Solution for -9(y-6)=-7y+38 equation:


Simplifying
-9(y + -6) = -7y + 38

Reorder the terms:
-9(-6 + y) = -7y + 38
(-6 * -9 + y * -9) = -7y + 38
(54 + -9y) = -7y + 38

Reorder the terms:
54 + -9y = 38 + -7y

Solving
54 + -9y = 38 + -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.
54 + -9y + 7y = 38 + -7y + 7y

Combine like terms: -9y + 7y = -2y
54 + -2y = 38 + -7y + 7y

Combine like terms: -7y + 7y = 0
54 + -2y = 38 + 0
54 + -2y = 38

Add '-54' to each side of the equation.
54 + -54 + -2y = 38 + -54

Combine like terms: 54 + -54 = 0
0 + -2y = 38 + -54
-2y = 38 + -54

Combine like terms: 38 + -54 = -16
-2y = -16

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

Simplifying
y = 8

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