9(3y-9)=32y+19

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Solution for 9(3y-9)=32y+19 equation:


Simplifying
9(3y + -9) = 32y + 19

Reorder the terms:
9(-9 + 3y) = 32y + 19
(-9 * 9 + 3y * 9) = 32y + 19
(-81 + 27y) = 32y + 19

Reorder the terms:
-81 + 27y = 19 + 32y

Solving
-81 + 27y = 19 + 32y

Solving for variable 'y'.

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

Add '-32y' to each side of the equation.
-81 + 27y + -32y = 19 + 32y + -32y

Combine like terms: 27y + -32y = -5y
-81 + -5y = 19 + 32y + -32y

Combine like terms: 32y + -32y = 0
-81 + -5y = 19 + 0
-81 + -5y = 19

Add '81' to each side of the equation.
-81 + 81 + -5y = 19 + 81

Combine like terms: -81 + 81 = 0
0 + -5y = 19 + 81
-5y = 19 + 81

Combine like terms: 19 + 81 = 100
-5y = 100

Divide each side by '-5'.
y = -20

Simplifying
y = -20

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