5y+19=3(y+8)

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


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

Reorder the terms:
19 + 5y = 3(y + 8)

Reorder the terms:
19 + 5y = 3(8 + y)
19 + 5y = (8 * 3 + y * 3)
19 + 5y = (24 + 3y)

Solving
19 + 5y = 24 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
19 + 5y + -3y = 24 + 3y + -3y

Combine like terms: 5y + -3y = 2y
19 + 2y = 24 + 3y + -3y

Combine like terms: 3y + -3y = 0
19 + 2y = 24 + 0
19 + 2y = 24

Add '-19' to each side of the equation.
19 + -19 + 2y = 24 + -19

Combine like terms: 19 + -19 = 0
0 + 2y = 24 + -19
2y = 24 + -19

Combine like terms: 24 + -19 = 5
2y = 5

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5

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