5y+6y-16=3y+2y-4

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Solution for 5y+6y-16=3y+2y-4 equation:


Simplifying
5y + 6y + -16 = 3y + 2y + -4

Reorder the terms:
-16 + 5y + 6y = 3y + 2y + -4

Combine like terms: 5y + 6y = 11y
-16 + 11y = 3y + 2y + -4

Reorder the terms:
-16 + 11y = -4 + 3y + 2y

Combine like terms: 3y + 2y = 5y
-16 + 11y = -4 + 5y

Solving
-16 + 11y = -4 + 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 + 11y + -5y = -4 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-16 + 6y = -4 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + 6y = -4 + 0
-16 + 6y = -4

Add '16' to each side of the equation.
-16 + 16 + 6y = -4 + 16

Combine like terms: -16 + 16 = 0
0 + 6y = -4 + 16
6y = -4 + 16

Combine like terms: -4 + 16 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2

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