5(y-9)=8y-27

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Solution for 5(y-9)=8y-27 equation:


Simplifying
5(y + -9) = 8y + -27

Reorder the terms:
5(-9 + y) = 8y + -27
(-9 * 5 + y * 5) = 8y + -27
(-45 + 5y) = 8y + -27

Reorder the terms:
-45 + 5y = -27 + 8y

Solving
-45 + 5y = -27 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-45 + 5y + -8y = -27 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-45 + -3y = -27 + 8y + -8y

Combine like terms: 8y + -8y = 0
-45 + -3y = -27 + 0
-45 + -3y = -27

Add '45' to each side of the equation.
-45 + 45 + -3y = -27 + 45

Combine like terms: -45 + 45 = 0
0 + -3y = -27 + 45
-3y = -27 + 45

Combine like terms: -27 + 45 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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