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

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


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

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

Combine like terms: 5y + 2y = 7y
-16 + 7y = 3y + 6 + -5

Reorder the terms:
-16 + 7y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
-16 + 7y = 1 + 3y

Solving
-16 + 7y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-16 + 7y + -3y = 1 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-16 + 4y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + 4y = 1 + 0
-16 + 4y = 1

Add '16' to each side of the equation.
-16 + 16 + 4y = 1 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 1 + 16
4y = 1 + 16

Combine like terms: 1 + 16 = 17
4y = 17

Divide each side by '4'.
y = 4.25

Simplifying
y = 4.25

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