5(y-4)=8y-11

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Solution for 5(y-4)=8y-11 equation:


Simplifying
5(y + -4) = 8y + -11

Reorder the terms:
5(-4 + y) = 8y + -11
(-4 * 5 + y * 5) = 8y + -11
(-20 + 5y) = 8y + -11

Reorder the terms:
-20 + 5y = -11 + 8y

Solving
-20 + 5y = -11 + 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.
-20 + 5y + -8y = -11 + 8y + -8y

Combine like terms: 5y + -8y = -3y
-20 + -3y = -11 + 8y + -8y

Combine like terms: 8y + -8y = 0
-20 + -3y = -11 + 0
-20 + -3y = -11

Add '20' to each side of the equation.
-20 + 20 + -3y = -11 + 20

Combine like terms: -20 + 20 = 0
0 + -3y = -11 + 20
-3y = -11 + 20

Combine like terms: -11 + 20 = 9
-3y = 9

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

Simplifying
y = -3

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