7y-6(y+4)=9y

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Solution for 7y-6(y+4)=9y equation:


Simplifying
7y + -6(y + 4) = 9y

Reorder the terms:
7y + -6(4 + y) = 9y
7y + (4 * -6 + y * -6) = 9y
7y + (-24 + -6y) = 9y

Reorder the terms:
-24 + 7y + -6y = 9y

Combine like terms: 7y + -6y = 1y
-24 + 1y = 9y

Solving
-24 + 1y = 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-24 + 1y + -9y = 9y + -9y

Combine like terms: 1y + -9y = -8y
-24 + -8y = 9y + -9y

Combine like terms: 9y + -9y = 0
-24 + -8y = 0

Add '24' to each side of the equation.
-24 + 24 + -8y = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -8y = 0 + 24
-8y = 0 + 24

Combine like terms: 0 + 24 = 24
-8y = 24

Divide each side by '-8'.
y = -3

Simplifying
y = -3

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