3y+19=5y-7

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Solution for 3y+19=5y-7 equation:


Simplifying
3y + 19 = 5y + -7

Reorder the terms:
19 + 3y = 5y + -7

Reorder the terms:
19 + 3y = -7 + 5y

Solving
19 + 3y = -7 + 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.
19 + 3y + -5y = -7 + 5y + -5y

Combine like terms: 3y + -5y = -2y
19 + -2y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
19 + -2y = -7 + 0
19 + -2y = -7

Add '-19' to each side of the equation.
19 + -19 + -2y = -7 + -19

Combine like terms: 19 + -19 = 0
0 + -2y = -7 + -19
-2y = -7 + -19

Combine like terms: -7 + -19 = -26
-2y = -26

Divide each side by '-2'.
y = 13

Simplifying
y = 13

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