2y-4=5y-19

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Solution for 2y-4=5y-19 equation:


Simplifying
2y + -4 = 5y + -19

Reorder the terms:
-4 + 2y = 5y + -19

Reorder the terms:
-4 + 2y = -19 + 5y

Solving
-4 + 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.
-4 + 2y + -5y = -19 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-4 + -3y = -19 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + -3y = -19 + 0
-4 + -3y = -19

Add '4' to each side of the equation.
-4 + 4 + -3y = -19 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = -19 + 4
-3y = -19 + 4

Combine like terms: -19 + 4 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5

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