3y=6(5-3(6-y))

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Solution for 3y=6(5-3(6-y)) equation:


Simplifying
3y = 6(5 + -3(6 + -1y))
3y = 6(5 + (6 * -3 + -1y * -3))
3y = 6(5 + (-18 + 3y))

Combine like terms: 5 + -18 = -13
3y = 6(-13 + 3y)
3y = (-13 * 6 + 3y * 6)
3y = (-78 + 18y)

Solving
3y = -78 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
3y + -18y = -78 + 18y + -18y

Combine like terms: 3y + -18y = -15y
-15y = -78 + 18y + -18y

Combine like terms: 18y + -18y = 0
-15y = -78 + 0
-15y = -78

Divide each side by '-15'.
y = 5.2

Simplifying
y = 5.2

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