13-.5(y+4)=3.5y-9

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Solution for 13-.5(y+4)=3.5y-9 equation: 


Simplifying
13 + -0.5(y + 4) = 3.5y + -9

Reorder the terms:
13 + -0.5(4 + y) = 3.5y + -9
13 + (4 * -0.5 + y * -0.5) = 3.5y + -9
13 + (-2 + -0.5y) = 3.5y + -9

Combine like terms: 13 + -2 = 11
11 + -0.5y = 3.5y + -9

Reorder the terms:
11 + -0.5y = -9 + 3.5y

Solving
11 + -0.5y = -9 + 3.5y

Solving for variable 'y'.

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

Add '-3.5y' to each side of the equation.
11 + -0.5y + -3.5y = -9 + 3.5y + -3.5y

Combine like terms: -0.5y + -3.5y = -4y
11 + -4y = -9 + 3.5y + -3.5y

Combine like terms: 3.5y + -3.5y = 0.0
11 + -4y = -9 + 0.0
11 + -4y = -9

Add '-11' to each side of the equation.
11 + -11 + -4y = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = -9 + -11
-4y = -9 + -11

Combine like terms: -9 + -11 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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