6y=5(3y+2)+8

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Solution for 6y=5(3y+2)+8 equation:


Simplifying
6y = 5(3y + 2) + 8

Reorder the terms:
6y = 5(2 + 3y) + 8
6y = (2 * 5 + 3y * 5) + 8
6y = (10 + 15y) + 8

Reorder the terms:
6y = 10 + 8 + 15y

Combine like terms: 10 + 8 = 18
6y = 18 + 15y

Solving
6y = 18 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
6y + -15y = 18 + 15y + -15y

Combine like terms: 6y + -15y = -9y
-9y = 18 + 15y + -15y

Combine like terms: 15y + -15y = 0
-9y = 18 + 0
-9y = 18

Divide each side by '-9'.
y = -2

Simplifying
y = -2

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