3(y+6)=3(2y+7)

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Solution for 3(y+6)=3(2y+7) equation: 


Simplifying
3(y + 6) = 3(2y + 7)

Reorder the terms:
3(6 + y) = 3(2y + 7)
(6 * 3 + y * 3) = 3(2y + 7)
(18 + 3y) = 3(2y + 7)

Reorder the terms:
18 + 3y = 3(7 + 2y)
18 + 3y = (7 * 3 + 2y * 3)
18 + 3y = (21 + 6y)

Solving
18 + 3y = 21 + 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.
18 + 3y + -6y = 21 + 6y + -6y

Combine like terms: 3y + -6y = -3y
18 + -3y = 21 + 6y + -6y

Combine like terms: 6y + -6y = 0
18 + -3y = 21 + 0
18 + -3y = 21

Add '-18' to each side of the equation.
18 + -18 + -3y = 21 + -18

Combine like terms: 18 + -18 = 0
0 + -3y = 21 + -18
-3y = 21 + -18

Combine like terms: 21 + -18 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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