3(2y+8)+2y=6

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Solution for 3(2y+8)+2y=6 equation:


Simplifying
3(2y + 8) + 2y = 6

Reorder the terms:
3(8 + 2y) + 2y = 6
(8 * 3 + 2y * 3) + 2y = 6
(24 + 6y) + 2y = 6

Combine like terms: 6y + 2y = 8y
24 + 8y = 6

Solving
24 + 8y = 6

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + 8y = 6 + -24

Combine like terms: 24 + -24 = 0
0 + 8y = 6 + -24
8y = 6 + -24

Combine like terms: 6 + -24 = -18
8y = -18

Divide each side by '8'.
y = -2.25

Simplifying
y = -2.25

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