3(-4.5+-.5y)+4y=14

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Solution for 3(-4.5+-.5y)+4y=14 equation: 


Simplifying
3(-4.5 + -0.5y) + 4y = 14
(-4.5 * 3 + -0.5y * 3) + 4y = 14
(-13.5 + -1.5y) + 4y = 14

Combine like terms: -1.5y + 4y = 2.5y
-13.5 + 2.5y = 14

Solving
-13.5 + 2.5y = 14

Solving for variable 'y'.

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

Add '13.5' to each side of the equation.
-13.5 + 13.5 + 2.5y = 14 + 13.5

Combine like terms: -13.5 + 13.5 = 0.0
0.0 + 2.5y = 14 + 13.5
2.5y = 14 + 13.5

Combine like terms: 14 + 13.5 = 27.5
2.5y = 27.5

Divide each side by '2.5'.
y = 11

Simplifying
y = 11

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