9(y-2)=5y-42

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Solution for 9(y-2)=5y-42 equation: 


Simplifying
9(y + -2) = 5y + -42

Reorder the terms:
9(-2 + y) = 5y + -42
(-2 * 9 + y * 9) = 5y + -42
(-18 + 9y) = 5y + -42

Reorder the terms:
-18 + 9y = -42 + 5y

Solving
-18 + 9y = -42 + 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.
-18 + 9y + -5y = -42 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-18 + 4y = -42 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 4y = -42 + 0
-18 + 4y = -42

Add '18' to each side of the equation.
-18 + 18 + 4y = -42 + 18

Combine like terms: -18 + 18 = 0
0 + 4y = -42 + 18
4y = -42 + 18

Combine like terms: -42 + 18 = -24
4y = -24

Divide each side by '4'.
y = -6

Simplifying
y = -6

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