y*6+107=y*16-13

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Solution for y*6+107=y*16-13 equation: 


Simplifying
y * 6 + 107 = y * 16 + -13

Reorder the terms for easier multiplication:
6y + 107 = y * 16 + -13

Reorder the terms:
107 + 6y = y * 16 + -13

Reorder the terms for easier multiplication:
107 + 6y = 16y + -13

Reorder the terms:
107 + 6y = -13 + 16y

Solving
107 + 6y = -13 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
107 + 6y + -16y = -13 + 16y + -16y

Combine like terms: 6y + -16y = -10y
107 + -10y = -13 + 16y + -16y

Combine like terms: 16y + -16y = 0
107 + -10y = -13 + 0
107 + -10y = -13

Add '-107' to each side of the equation.
107 + -107 + -10y = -13 + -107

Combine like terms: 107 + -107 = 0
0 + -10y = -13 + -107
-10y = -13 + -107

Combine like terms: -13 + -107 = -120
-10y = -120

Divide each side by '-10'.
y = 12

Simplifying
y = 12

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