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

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


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

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

Combine like terms: 3 + 6 = 9
9 + 2y = 6y + -6

Reorder the terms:
9 + 2y = -6 + 6y

Solving
9 + 2y = -6 + 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.
9 + 2y + -6y = -6 + 6y + -6y

Combine like terms: 2y + -6y = -4y
9 + -4y = -6 + 6y + -6y

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

Add '-9' to each side of the equation.
9 + -9 + -4y = -6 + -9

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

Combine like terms: -6 + -9 = -15
-4y = -15

Divide each side by '-4'.
y = 3.75

Simplifying
y = 3.75

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