5y-19=2(y-5)

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


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

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

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

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

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

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

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

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

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

Divide each side by '3'.
y = 3

Simplifying
y = 3

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