5(y-2)=2y-19

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Solution for 5(y-2)=2y-19 equation:


Simplifying
5(y + -2) = 2y + -19

Reorder the terms:
5(-2 + y) = 2y + -19
(-2 * 5 + y * 5) = 2y + -19
(-10 + 5y) = 2y + -19

Reorder the terms:
-10 + 5y = -19 + 2y

Solving
-10 + 5y = -19 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-10 + 5y + -2y = -19 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-10 + 3y = -19 + 2y + -2y

Combine like terms: 2y + -2y = 0
-10 + 3y = -19 + 0
-10 + 3y = -19

Add '10' to each side of the equation.
-10 + 10 + 3y = -19 + 10

Combine like terms: -10 + 10 = 0
0 + 3y = -19 + 10
3y = -19 + 10

Combine like terms: -19 + 10 = -9
3y = -9

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

Simplifying
y = -3

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