5(3y-4)=8y-19

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Solution for 5(3y-4)=8y-19 equation:


Simplifying
5(3y + -4) = 8y + -19

Reorder the terms:
5(-4 + 3y) = 8y + -19
(-4 * 5 + 3y * 5) = 8y + -19
(-20 + 15y) = 8y + -19

Reorder the terms:
-20 + 15y = -19 + 8y

Solving
-20 + 15y = -19 + 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 + 15y + -8y = -19 + 8y + -8y

Combine like terms: 15y + -8y = 7y
-20 + 7y = -19 + 8y + -8y

Combine like terms: 8y + -8y = 0
-20 + 7y = -19 + 0
-20 + 7y = -19

Add '20' to each side of the equation.
-20 + 20 + 7y = -19 + 20

Combine like terms: -20 + 20 = 0
0 + 7y = -19 + 20
7y = -19 + 20

Combine like terms: -19 + 20 = 1
7y = 1

Divide each side by '7'.
y = 0.1428571429

Simplifying
y = 0.1428571429

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