6(2y+3)=7y-9

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Solution for 6(2y+3)=7y-9 equation:


Simplifying
6(2y + 3) = 7y + -9

Reorder the terms:
6(3 + 2y) = 7y + -9
(3 * 6 + 2y * 6) = 7y + -9
(18 + 12y) = 7y + -9

Reorder the terms:
18 + 12y = -9 + 7y

Solving
18 + 12y = -9 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
18 + 12y + -7y = -9 + 7y + -7y

Combine like terms: 12y + -7y = 5y
18 + 5y = -9 + 7y + -7y

Combine like terms: 7y + -7y = 0
18 + 5y = -9 + 0
18 + 5y = -9

Add '-18' to each side of the equation.
18 + -18 + 5y = -9 + -18

Combine like terms: 18 + -18 = 0
0 + 5y = -9 + -18
5y = -9 + -18

Combine like terms: -9 + -18 = -27
5y = -27

Divide each side by '5'.
y = -5.4

Simplifying
y = -5.4

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