6(2y+3)-5(y-3)=12

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Solution for 6(2y+3)-5(y-3)=12 equation:


Simplifying
6(2y + 3) + -5(y + -3) = 12

Reorder the terms:
6(3 + 2y) + -5(y + -3) = 12
(3 * 6 + 2y * 6) + -5(y + -3) = 12
(18 + 12y) + -5(y + -3) = 12

Reorder the terms:
18 + 12y + -5(-3 + y) = 12
18 + 12y + (-3 * -5 + y * -5) = 12
18 + 12y + (15 + -5y) = 12

Reorder the terms:
18 + 15 + 12y + -5y = 12

Combine like terms: 18 + 15 = 33
33 + 12y + -5y = 12

Combine like terms: 12y + -5y = 7y
33 + 7y = 12

Solving
33 + 7y = 12

Solving for variable 'y'.

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

Add '-33' to each side of the equation.
33 + -33 + 7y = 12 + -33

Combine like terms: 33 + -33 = 0
0 + 7y = 12 + -33
7y = 12 + -33

Combine like terms: 12 + -33 = -21
7y = -21

Divide each side by '7'.
y = -3

Simplifying
y = -3

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