2y+3=3(y+6)

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


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

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

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

Solving
3 + 2y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
3 + 2y + -3y = 18 + 3y + -3y

Combine like terms: 2y + -3y = -1y
3 + -1y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
3 + -1y = 18 + 0
3 + -1y = 18

Add '-3' to each side of the equation.
3 + -3 + -1y = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 18 + -3
-1y = 18 + -3

Combine like terms: 18 + -3 = 15
-1y = 15

Divide each side by '-1'.
y = -15

Simplifying
y = -15

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