3y-5=2(y+8)

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Solution for 3y-5=2(y+8) equation:


Simplifying
3y + -5 = 2(y + 8)

Reorder the terms:
-5 + 3y = 2(y + 8)

Reorder the terms:
-5 + 3y = 2(8 + y)
-5 + 3y = (8 * 2 + y * 2)
-5 + 3y = (16 + 2y)

Solving
-5 + 3y = 16 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-5 + 3y + -2y = 16 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-5 + 1y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
-5 + 1y = 16 + 0
-5 + 1y = 16

Add '5' to each side of the equation.
-5 + 5 + 1y = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = 16 + 5
1y = 16 + 5

Combine like terms: 16 + 5 = 21
1y = 21

Divide each side by '1'.
y = 21

Simplifying
y = 21

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