3y+16=5y-6

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Solution for 3y+16=5y-6 equation:


Simplifying
3y + 16 = 5y + -6

Reorder the terms:
16 + 3y = 5y + -6

Reorder the terms:
16 + 3y = -6 + 5y

Solving
16 + 3y = -6 + 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.
16 + 3y + -5y = -6 + 5y + -5y

Combine like terms: 3y + -5y = -2y
16 + -2y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
16 + -2y = -6 + 0
16 + -2y = -6

Add '-16' to each side of the equation.
16 + -16 + -2y = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -2y = -6 + -16
-2y = -6 + -16

Combine like terms: -6 + -16 = -22
-2y = -22

Divide each side by '-2'.
y = 11

Simplifying
y = 11

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