8-3(y-4)=9+2y

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Solution for 8-3(y-4)=9+2y equation:


Simplifying
8 + -3(y + -4) = 9 + 2y

Reorder the terms:
8 + -3(-4 + y) = 9 + 2y
8 + (-4 * -3 + y * -3) = 9 + 2y
8 + (12 + -3y) = 9 + 2y

Combine like terms: 8 + 12 = 20
20 + -3y = 9 + 2y

Solving
20 + -3y = 9 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
20 + -3y + -2y = 9 + 2y + -2y

Combine like terms: -3y + -2y = -5y
20 + -5y = 9 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + -5y = 9 + 0
20 + -5y = 9

Add '-20' to each side of the equation.
20 + -20 + -5y = 9 + -20

Combine like terms: 20 + -20 = 0
0 + -5y = 9 + -20
-5y = 9 + -20

Combine like terms: 9 + -20 = -11
-5y = -11

Divide each side by '-5'.
y = 2.2

Simplifying
y = 2.2

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