2y-1=5y-19

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Solution for 2y-1=5y-19 equation:


Simplifying
2y + -1 = 5y + -19

Reorder the terms:
-1 + 2y = 5y + -19

Reorder the terms:
-1 + 2y = -19 + 5y

Solving
-1 + 2y = -19 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-1 + 2y + -5y = -19 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-1 + -3y = -19 + 5y + -5y

Combine like terms: 5y + -5y = 0
-1 + -3y = -19 + 0
-1 + -3y = -19

Add '1' to each side of the equation.
-1 + 1 + -3y = -19 + 1

Combine like terms: -1 + 1 = 0
0 + -3y = -19 + 1
-3y = -19 + 1

Combine like terms: -19 + 1 = -18
-3y = -18

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

Simplifying
y = 6

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