6(y+3)=7y-9

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


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

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

Reorder the terms:
18 + 6y = -9 + 7y

Solving
18 + 6y = -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 + 6y + -7y = -9 + 7y + -7y

Combine like terms: 6y + -7y = -1y
18 + -1y = -9 + 7y + -7y

Combine like terms: 7y + -7y = 0
18 + -1y = -9 + 0
18 + -1y = -9

Add '-18' to each side of the equation.
18 + -18 + -1y = -9 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = -9 + -18
-1y = -9 + -18

Combine like terms: -9 + -18 = -27
-1y = -27

Divide each side by '-1'.
y = 27

Simplifying
y = 27

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