(3y+19)=(4y+5)

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Solution for (3y+19)=(4y+5) equation:


Simplifying
(3y + 19) = (4y + 5)

Reorder the terms:
(19 + 3y) = (4y + 5)

Remove parenthesis around (19 + 3y)
19 + 3y = (4y + 5)

Reorder the terms:
19 + 3y = (5 + 4y)

Remove parenthesis around (5 + 4y)
19 + 3y = 5 + 4y

Solving
19 + 3y = 5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
19 + 3y + -4y = 5 + 4y + -4y

Combine like terms: 3y + -4y = -1y
19 + -1y = 5 + 4y + -4y

Combine like terms: 4y + -4y = 0
19 + -1y = 5 + 0
19 + -1y = 5

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

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

Combine like terms: 5 + -19 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14

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