(2y-4)=9-3(y+1)

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Solution for (2y-4)=9-3(y+1) equation:


Simplifying
(2y + -4) = 9 + -3(y + 1)

Reorder the terms:
(-4 + 2y) = 9 + -3(y + 1)

Remove parenthesis around (-4 + 2y)
-4 + 2y = 9 + -3(y + 1)

Reorder the terms:
-4 + 2y = 9 + -3(1 + y)
-4 + 2y = 9 + (1 * -3 + y * -3)
-4 + 2y = 9 + (-3 + -3y)

Combine like terms: 9 + -3 = 6
-4 + 2y = 6 + -3y

Solving
-4 + 2y = 6 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-4 + 2y + 3y = 6 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-4 + 5y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
-4 + 5y = 6 + 0
-4 + 5y = 6

Add '4' to each side of the equation.
-4 + 4 + 5y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 6 + 4
5y = 6 + 4

Combine like terms: 6 + 4 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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