5y+19=12y-37

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Solution for 5y+19=12y-37 equation:


Simplifying
5y + 19 = 12y + -37

Reorder the terms:
19 + 5y = 12y + -37

Reorder the terms:
19 + 5y = -37 + 12y

Solving
19 + 5y = -37 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
19 + 5y + -12y = -37 + 12y + -12y

Combine like terms: 5y + -12y = -7y
19 + -7y = -37 + 12y + -12y

Combine like terms: 12y + -12y = 0
19 + -7y = -37 + 0
19 + -7y = -37

Add '-19' to each side of the equation.
19 + -19 + -7y = -37 + -19

Combine like terms: 19 + -19 = 0
0 + -7y = -37 + -19
-7y = -37 + -19

Combine like terms: -37 + -19 = -56
-7y = -56

Divide each side by '-7'.
y = 8

Simplifying
y = 8

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