3y+4=6(6-y)

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Solution for 3y+4=6(6-y) equation:


Simplifying
3y + 4 = 6(6 + -1y)

Reorder the terms:
4 + 3y = 6(6 + -1y)
4 + 3y = (6 * 6 + -1y * 6)
4 + 3y = (36 + -6y)

Solving
4 + 3y = 36 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
4 + 3y + 6y = 36 + -6y + 6y

Combine like terms: 3y + 6y = 9y
4 + 9y = 36 + -6y + 6y

Combine like terms: -6y + 6y = 0
4 + 9y = 36 + 0
4 + 9y = 36

Add '-4' to each side of the equation.
4 + -4 + 9y = 36 + -4

Combine like terms: 4 + -4 = 0
0 + 9y = 36 + -4
9y = 36 + -4

Combine like terms: 36 + -4 = 32
9y = 32

Divide each side by '9'.
y = 3.555555556

Simplifying
y = 3.555555556

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