-9(y-3)=-6y+42

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Solution for -9(y-3)=-6y+42 equation:


Simplifying
-9(y + -3) = -6y + 42

Reorder the terms:
-9(-3 + y) = -6y + 42
(-3 * -9 + y * -9) = -6y + 42
(27 + -9y) = -6y + 42

Reorder the terms:
27 + -9y = 42 + -6y

Solving
27 + -9y = 42 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
27 + -9y + 6y = 42 + -6y + 6y

Combine like terms: -9y + 6y = -3y
27 + -3y = 42 + -6y + 6y

Combine like terms: -6y + 6y = 0
27 + -3y = 42 + 0
27 + -3y = 42

Add '-27' to each side of the equation.
27 + -27 + -3y = 42 + -27

Combine like terms: 27 + -27 = 0
0 + -3y = 42 + -27
-3y = 42 + -27

Combine like terms: 42 + -27 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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