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

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


Simplifying
3(2y + 6) + 2(y + -3) = 0

Reorder the terms:
3(6 + 2y) + 2(y + -3) = 0
(6 * 3 + 2y * 3) + 2(y + -3) = 0
(18 + 6y) + 2(y + -3) = 0

Reorder the terms:
18 + 6y + 2(-3 + y) = 0
18 + 6y + (-3 * 2 + y * 2) = 0
18 + 6y + (-6 + 2y) = 0

Reorder the terms:
18 + -6 + 6y + 2y = 0

Combine like terms: 18 + -6 = 12
12 + 6y + 2y = 0

Combine like terms: 6y + 2y = 8y
12 + 8y = 0

Solving
12 + 8y = 0

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 8y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 8y = 0 + -12
8y = 0 + -12

Combine like terms: 0 + -12 = -12
8y = -12

Divide each side by '8'.
y = -1.5

Simplifying
y = -1.5

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