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

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


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

Reorder the terms:
3(-2 + y) = 2(8 + y)
(-2 * 3 + y * 3) = 2(8 + y)
(-6 + 3y) = 2(8 + y)
-6 + 3y = (8 * 2 + y * 2)
-6 + 3y = (16 + 2y)

Solving
-6 + 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.
-6 + 3y + -2y = 16 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-6 + 1y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 1y = 16 + 0
-6 + 1y = 16

Add '6' to each side of the equation.
-6 + 6 + 1y = 16 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 16 + 6
1y = 16 + 6

Combine like terms: 16 + 6 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22

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